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100113312312 = 23331335652889
BaseRepresentation
bin101110100111100110…
…1111110101000111000
3100120102001212012112000
41131033031332220320
53120013001443222
6113554051421000
710142621054046
oct1351715765070
9316361765460
10100113312312
113950439a342
121749b8b4760
139596134650
144bba119396
15290e16d9ac
hex174f37ea38

100113312312 has 64 divisors (see below), whose sum is σ = 299484276000. Its totient is φ = 30804095232.

The previous prime is 100113312311. The next prime is 100113312317. The reversal of 100113312312 is 213213311001.

100113312312 is a `hidden beast` number, since 10 + 0 + 11 + 331 + 2 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100113312311) 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, 17823637 + ... + 17829252.

Almost surely, 2100113312312 is an apocalyptic number.

100113312312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100113312312 is an abundant number, since it is smaller than the sum of its proper divisors (199370963688).

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

100113312312 is a wasteful number, since it uses less digits than its factorization.

100113312312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35652917 (or 35652907 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100113312312 its reverse (213213311001), we get a palindrome (313326623313).

The spelling of 100113312312 in words is "one hundred billion, one hundred thirteen million, three hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 35652889 71305778 106958667 142611556 213917334 285223112 320876001 427834668 463487557 641752002 855669336 926975114 962628003 1283504004 1390462671 1853950228 1925256006 2567008008 2780925342 3707900456 3850512012 4171388013 5561850684 7701024024 8342776026 11123701368 12514164039 16685552052 25028328078 33371104104 50056656156 100113312312