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102831974136 = 23323121486183
BaseRepresentation
bin101111111000101000…
…0110110011011111000
3100211102112111112102200
41133301100312123320
53141044441133021
6115123530030200
710300162233603
oct1376120663370
9324375445380
10102831974136
113a679a721a1
1217b1a278360
13990a453398
144d9720933a
152a1cb8d126
hex17f14366f8

102831974136 has 72 divisors (see below), whose sum is σ = 287777238840. Its totient is φ = 33171582240.

The previous prime is 102831974129. The next prime is 102831974149. The reversal of 102831974136 is 631479138201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102831974091 and 102831974100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 673900 + ... + 812283.

It is an arithmetic number, because the mean of its divisors is an integer number (3996906095).

Almost surely, 2102831974136 is an apocalyptic number.

It is an amenable number.

102831974136 is an abundant number, since it is smaller than the sum of its proper divisors (184945264704).

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

102831974136 is a wasteful number, since it uses less digits than its factorization.

102831974136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486257 (or 1486219 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 102831974136 in words is "one hundred two billion, eight hundred thirty-one million, nine hundred seventy-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 961 1116 1922 2232 2883 3844 5766 7688 8649 11532 17298 23064 34596 69192 1486183 2972366 4458549 5944732 8917098 11889464 13375647 17834196 26751294 35668392 46071673 53502588 92143346 107005176 138215019 184286692 276430038 368573384 414645057 552860076 829290114 1105720152 1428221863 1658580228 2856443726 3317160456 4284665589 5712887452 8569331178 11425774904 12853996767 17138662356 25707993534 34277324712 51415987068 102831974136