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100112220096 = 2637611221119
BaseRepresentation
bin101110100111100100…
…1110011111111000000
3100120101222210201021120
41131033021303333000
53120012212020341
6113554012152240
710142605554540
oct1351711637700
9316358721246
10100112220096
1139503813789
121749b468680
139595b41475
144bb9d13320
15290e005066
hex174f273fc0

100112220096 has 112 divisors (see below), whose sum is σ = 307683164160. Its totient is φ = 28134558720.

The previous prime is 100112220077. The next prime is 100112220097. The reversal of 100112220096 is 690022211001.

100112220096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1001122200962 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112220097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528576 + ... + 692543.

Almost surely, 2100112220096 is an apocalyptic number.

100112220096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100112220096 is an abundant number, since it is smaller than the sum of its proper divisors (207570944064).

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

100112220096 is a wasteful number, since it uses less digits than its factorization.

100112220096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221202 (or 1221192 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 100112220096 its reverse (690022211001), we get a palindrome (790134431097).

The spelling of 100112220096 in words is "one hundred billion, one hundred twelve million, two hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 168 183 192 224 244 336 366 427 448 488 672 732 854 976 1281 1344 1464 1708 1952 2562 2928 3416 3904 5124 5856 6832 10248 11712 13664 20496 27328 40992 81984 1221119 2442238 3663357 4884476 7326714 8547833 9768952 14653428 17095666 19537904 25643499 29306856 34191332 39075808 51286998 58613712 68382664 74488259 78151616 102573996 117227424 136765328 148976518 205147992 223464777 234454848 273530656 297953036 410295984 446929554 521417813 547061312 595906072 820591968 893859108 1042835626 1191812144 1564253439 1641183936 1787718216 2085671252 2383624288 3128506878 3575436432 4171342504 4767248576 6257013756 7150872864 8342685008 12514027512 14301745728 16685370016 25028055024 33370740032 50056110048 100112220096