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103232311113312 = 2532389921453791
BaseRepresentation
bin10111011110001110100101…
…001110111011011001100000
3111112111220122020221010001200
4113132032211032323121200
5102012324233121111222
61003320134035401200
730513200622241023
oct2736164516733140
9445456566833050
10103232311113312
112a9906393a9787
12b6b3144153200
13457a9c40c3774
141b6c6831571ba
15be0498e2aeac
hex5de3a53bb660

103232311113312 has 72 divisors (see below), whose sum is σ = 294321555702720. Its totient is φ = 34322310769920.

The previous prime is 103232311113293. The next prime is 103232311113329. The reversal of 103232311113312 is 213311113232301.

103232311113312 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 3 + 2 + 311 + 11 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 460614864 + ... + 460838927.

It is an arithmetic number, because the mean of its divisors is an integer number (4087799384760).

Almost surely, 2103232311113312 is an apocalyptic number.

103232311113312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103232311113312 is an abundant number, since it is smaller than the sum of its proper divisors (191089244589408).

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

103232311113312 is a wasteful number, since it uses less digits than its factorization.

103232311113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921454196 (or 921454185 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 103232311113312 its reverse (213311113232301), we get a palindrome (316543424345613).

The spelling of 103232311113312 in words is "one hundred three trillion, two hundred thirty-two billion, three hundred eleven million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 389 778 1167 1556 2334 3112 3501 4668 6224 7002 9336 12448 14004 18672 28008 37344 56016 112032 921453791 1842907582 2764361373 3685815164 5528722746 7371630328 8293084119 11057445492 14743260656 16586168238 22114890984 29486521312 33172336476 44229781968 66344672952 88459563936 132689345904 265378691808 358445524699 716891049398 1075336574097 1433782098796 2150673148194 2867564197592 3226009722291 4301346296388 5735128395184 6452019444582 8602692592776 11470256790368 12904038889164 17205385185552 25808077778328 34410770371104 51616155556656 103232311113312