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102124124020542 = 23133191033958733
BaseRepresentation
bin10111001110000110100000…
…001000101001111100111110
3111101120222012210101221101210
4113032012200020221330332
5101341200201222124132
61001111101440145250
730340136665334241
oct2716064010517476
9441528183357353
10102124124020542
112a5a3663703818
12b55440a608226
1344ca3570ba000
141b30b96603258
15bc1739824bcc
hex5ce1a0229f3e

102124124020542 has 128 divisors (see below), whose sum is σ = 235167801523200. Its totient is φ = 29479948797312.

The previous prime is 102124124020453. The next prime is 102124124020577. The reversal of 102124124020542 is 245020421421201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23817808 + ... + 27776540.

It is an arithmetic number, because the mean of its divisors is an integer number (1837248449400).

Almost surely, 2102124124020542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102124124020542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117583900761600).

102124124020542 is an abundant number, since it is smaller than the sum of its proper divisors (133043677502658).

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

102124124020542 is a wasteful number, since it uses less digits than its factorization.

102124124020542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958899 (or 3958873 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 102124124020542 its reverse (245020421421201), we get a palindrome (347144545441743).

The spelling of 102124124020542 in words is "one hundred two trillion, one hundred twenty-four billion, one hundred twenty-four million, twenty thousand, five hundred forty-two".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 103 114 169 206 247 309 338 494 507 618 741 1014 1339 1482 1957 2197 2678 3211 3914 4017 4394 5871 6422 6591 8034 9633 11742 13182 17407 19266 25441 34814 41743 50882 52221 76323 83486 104442 125229 152646 226291 250458 330733 452582 661466 678873 992199 1357746 1984398 3958733 4299529 7917466 8599058 11876199 12898587 23752398 25797174 51463529 75215927 102927058 150431854 154390587 225647781 308781174 407749499 451295562 669025877 815498998 977807051 1223248497 1338051754 1955614102 2007077631 2446496994 2933421153 4014155262 5300743487 5866842306 7747240481 8697336401 10601486974 12711491663 15494480962 15902230461 17394672802 23241721443 25422983326 26092009203 31804460922 38134474989 46483442886 52184018406 68909665331 76268949978 100714126253 137819330662 165249391619 201428252506 206728995993 302142378759 330498783238 413457991986 495748174857 604284757518 895825649303 991496349714 1309283641289 1791651298606 2618567282578 2687476947909 3927850923867 5374953895818 7855701847734 17020687336757 34041374673514 51062062010271 102124124020542