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102410033234034 = 23172922514756337
BaseRepresentation
bin10111010010010000110001…
…101001110000000001110010
3111102121022012022000211220010
4113102100301221300001302
5101410341222001442114
61001450304134555350
730366611043501441
oct2722206151600162
9442538168024803
10102410033234034
112a6a393aa33609
12b59b900b08b56
13451b2bc870b06
141b4095a198d58
15bc8dbee1ac59
hex5d2431a70072

102410033234034 has 96 divisors (see below), whose sum is σ = 225499278303936. Its totient is φ = 30897158656000.

The previous prime is 102410033233999. The next prime is 102410033234071. The reversal of 102410033234034 is 430432330014201.

It is a happy number.

102410033234034 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102410033233992 and 102410033234010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19153114 + ... + 23909450.

It is an arithmetic number, because the mean of its divisors is an integer number (2348950815666).

Almost surely, 2102410033234034 is an apocalyptic number.

102410033234034 is an abundant number, since it is smaller than the sum of its proper divisors (123089245069902).

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

102410033234034 is a wasteful number, since it uses less digits than its factorization.

102410033234034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4756668 (or 4756639 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 102410033234034 its reverse (430432330014201), we get a palindrome (532842363248235).

The spelling of 102410033234034 in words is "one hundred two trillion, four hundred ten billion, thirty-three million, two hundred thirty-four thousand, thirty-four".

Divisors: 1 2 3 6 17 29 34 51 58 87 102 174 251 493 502 753 841 986 1479 1506 1682 2523 2958 4267 5046 7279 8534 12801 14297 14558 21837 25602 28594 42891 43674 85782 123743 211091 247486 371229 422182 633273 742458 1266546 3588547 4756337 7177094 9512674 10765641 14269011 21531282 28538022 80857729 137933773 161715458 242573187 275867546 413801319 485146374 827602638 1193840587 2344874141 2387681174 3581521761 4000079417 4689748282 7034622423 7163043522 8000158834 12000238251 14069244846 20295289979 24000476502 34621377023 40590579958 60885869937 68001350089 69242754046 103864131069 121771739874 136002700178 204004050267 207728262138 408008100534 588563409391 1004019933667 1177126818782 1765690228173 2008039867334 3012059801001 3531380456346 6024119602002 17068338872339 34136677744678 51205016617017 102410033234034