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12233021100330 = 23517127280167429
BaseRepresentation
bin1011001000000011100011…
…1000001001000100101010
31121022110120021101111012210
42302000320320021010222
53100411211400202310
642003434452545550
72401543444462032
oct262007070110452
947273507344183
1012233021100330
113996aa4551468
121456a120222b6
136a9751c65584
1430411d4448c2
1516332032e820
hexb2038e0912a

12233021100330 has 128 divisors (see below), whose sum is σ = 31342689607680. Its totient is φ = 3044940595200.

The previous prime is 12233021100253. The next prime is 12233021100331. The reversal of 12233021100330 is 3300112033221.

It is a super-2 number, since 2×122330211003302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12233021100297 and 12233021100306.

It is not an unprimeable number, because it can be changed into a prime (12233021100331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181387056 + ... + 181454484.

It is an arithmetic number, because the mean of its divisors is an integer number (244864762560).

Almost surely, 212233021100330 is an apocalyptic number.

12233021100330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12233021100330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15671344803840).

12233021100330 is an abundant number, since it is smaller than the sum of its proper divisors (19109668507350).

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

12233021100330 is a wasteful number, since it uses less digits than its factorization.

12233021100330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70384.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12233021100330 its reverse (3300112033221), we get a palindrome (15533133133551).

The spelling of 12233021100330 in words is "twelve trillion, two hundred thirty-three billion, twenty-one million, one hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 127 170 254 255 381 510 635 762 1270 1905 2159 2801 3810 4318 5602 6477 8403 10795 12954 14005 16806 21590 28010 32385 42015 47617 64770 67429 84030 95234 134858 142851 202287 238085 285702 337145 355727 404574 476170 674290 711454 714255 1011435 1067181 1146293 1428510 1778635 2022870 2134362 2292586 3438879 3557270 5335905 5731465 6047359 6877758 8563483 10671810 11462930 12094718 17126966 17194395 18142077 25690449 30236795 34388790 36284154 42817415 51380898 60473590 85634830 90710385 128452245 145579211 181420770 188868629 256904490 291158422 377737258 436737633 566605887 727896055 873475266 944343145 1133211774 1455792110 1888686290 2183688165 2833029435 3210766693 4367376330 5666058870 6421533386 9632300079 16053833465 19264600158 23986315883 32107666930 47972631766 48161500395 71958947649 96323000790 119931579415 143917895298 239863158830 359794738245 407767370011 719589476490 815534740022 1223302110033 2038836850055 2446604220066 4077673700110 6116510550165 12233021100330