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100030132121232 = 243172321227251087
BaseRepresentation
bin10110101111101000010100…
…011111011110111010010000
3111010011210020220012212220210
4112233220110133132322100
5101102343202310334412
6552425112554404120
730032636632015215
oct2657502437367220
9433153226185823
10100030132121232
11299665a4890905
12b276614a30640
1343a7a549ba191
141a9b6aca0db0c
15b8702ece583c
hex5afa147dee90

100030132121232 has 160 divisors (see below), whose sum is σ = 285522585956352. Its totient is φ = 30016033687552.

The previous prime is 100030132121219. The next prime is 100030132121233. The reversal of 100030132121232 is 232121231030001.

100030132121232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1000301321212322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100030132121199 and 100030132121208.

It is not an unprimeable number, because it can be changed into a prime (100030132121233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 398262793 + ... + 398513879.

Almost surely, 2100030132121232 is an apocalyptic number.

100030132121232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100030132121232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142761292978176).

100030132121232 is an abundant number, since it is smaller than the sum of its proper divisors (185492453835120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100030132121232 is a wasteful number, since it uses less digits than its factorization.

100030132121232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272365 (or 272359 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 100030132121232 its reverse (232121231030001), we get a palindrome (332151363151233).

The spelling of 100030132121232 in words is "one hundred trillion, thirty billion, one hundred thirty-two million, one hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 136 138 184 204 272 276 368 391 408 552 782 816 1104 1173 1564 2346 3128 4692 6256 9384 18768 21227 42454 63681 84908 127362 169816 251087 254724 339632 360859 488221 502174 509448 721718 753261 976442 1004348 1018896 1082577 1443436 1464663 1506522 1952884 2008696 2165154 2886872 2929326 3013044 3905768 4017392 4268479 4330308 5773744 5775001 5858652 6026088 7811536 8299757 8536958 8660616 11550002 11717304 12052176 12805437 16599514 17073916 17321232 17325003 23100004 23434608 24899271 25610874 33199028 34147832 34650006 46200008 49798542 51221748 66398056 68295664 69300012 92400016 98175017 99597084 102443496 132796112 138600024 196350034 199194168 204886992 277200048 294525051 392700068 398388336 589050102 785400136 1178100204 1570800272 2356200408 4712400816 5329823749 10659647498 15989471247 21319294996 31978942494 42638589992 63957884988 85277179984 90607003733 122585946227 127915769976 181214007466 245171892454 255831539952 271821011199 362428014932 367757838681 490343784908 543642022398 724856029864 735515677362 980687569816 1087284044796 1449712059728 1471031354724 1961375139632 2083961085859 2174568089592 2942062709448 4167922171718 4349136179184 5884125418896 6251883257577 8335844343436 12503766515154 16671688686872 25007533030308 33343377373744 50015066060616 100030132121232