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100021232232012 = 223721374561175493
BaseRepresentation
bin10110101111100000000010…
…000001000110011001001100
3111010010221021122111200002010
4112233200002001012121030
5101102221440422411022
6552421041511101220
730032203243140300
oct2657400201063114
9433127248450063
10100021232232012
1129962848057363
12b274950371810
1343a6c66bbbc40
141a9b0a6a17d00
15b86bad7e150c
hex5af80204664c

100021232232012 has 144 divisors (see below), whose sum is σ = 292375342984032. Its totient is φ = 26378721976320.

The previous prime is 100021232231981. The next prime is 100021232232071. The reversal of 100021232232012 is 210232232120001.

It is a super-2 number, since 2×1000212322320122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 100021232232012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 569856538 + ... + 570032030.

It is an arithmetic number, because the mean of its divisors is an integer number (2030384326278).

Almost surely, 2100021232232012 is an apocalyptic number.

100021232232012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100021232232012 is an abundant number, since it is smaller than the sum of its proper divisors (192354110752020).

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

100021232232012 is a wasteful number, since it uses less digits than its factorization.

100021232232012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250088 (or 250079 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 100021232232012 its reverse (210232232120001), we get a palindrome (310253464352013).

The spelling of 100021232232012 in words is "one hundred trillion, twenty-one billion, two hundred thirty-two million, two hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 7644 74561 149122 175493 223683 298244 350986 447366 521927 526479 701972 894732 969293 1043854 1052958 1228451 1565781 1938586 2087708 2105916 2281409 2456902 2907879 3131562 3653489 3685353 3877172 4562818 4913804 5815758 6263124 6785051 6844227 7306978 7370706 8599157 9125636 10960467 11631516 13570102 13688454 14613956 14741412 15969863 17198314 20355153 21920934 25797471 27140204 27376908 31939726 34396628 40710306 43841868 47495357 47909589 51594942 63879452 81420612 94990714 95819178 103189884 111789041 142486071 189981428 191638356 223578082 284972142 335367123 447156164 569944284 670734246 1341468492 13084933573 26169867146 39254800719 52339734292 78509601438 91594535011 157019202876 170104136449 183189070022 274783605033 340208272898 366378140044 510312409347 549567210066 641161745077 680416545796 1020624818694 1099134420132 1190728955143 1282323490154 1923485235231 2041249637388 2381457910286 2564646980308 3572186865429 3846970470462 4762915820572 7144373730858 7693940940924 8335102686001 14288747461716 16670205372002 25005308058003 33340410744004 50010616116006 100021232232012