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3135225210124 = 2274165920032069
BaseRepresentation
bin101101100111111001111…
…111000010010100001100
3102002201120020100200211211
4231213321333002110030
5402331420123210444
610400145205024204
7442340542402150
oct55477177022414
912081506320754
103135225210124
11aa9706994587
124277646b5064
1319985c106337
14aba62329060
155684b197c34
hex2d9f9fc250c

3135225210124 has 96 divisors (see below), whose sum is σ = 6439458009600. Its totient is φ = 1307620554240.

The previous prime is 3135225210067. The next prime is 3135225210157. The reversal of 3135225210124 is 4210125225313.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 1515332562 + ... + 1515334630.

It is an arithmetic number, because the mean of its divisors is an integer number (67077687600).

Almost surely, 23135225210124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3135225210124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219729004800).

3135225210124 is an abundant number, since it is smaller than the sum of its proper divisors (3304232799476).

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

3135225210124 is a wasteful number, since it uses less digits than its factorization.

3135225210124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4783 (or 4781 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 3135225210124 in words is "three trillion, one hundred thirty-five billion, two hundred twenty-five million, two hundred ten thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 41 82 164 287 574 659 1148 1318 2003 2069 2636 4006 4138 4613 8012 8276 9226 14021 14483 18452 27019 28042 28966 54038 56084 57932 82123 84829 108076 164246 169658 189133 328492 339316 378266 574861 593803 756532 1149722 1187606 1319977 1363471 2299444 2375212 2639954 2726942 4144207 5279908 5453884 8288414 9239839 9544297 16576828 18479678 19088594 29009449 36959356 38177188 54119057 55902311 58018898 108238114 111804622 116037796 169912487 216476228 223609244 339824974 378833399 391316177 679649948 757666798 782632354 1189387409 1515333596 1565264708 2378774818 2731032413 4757549636 5462064826 10924129652 19117226891 38234453782 76468907564 111972328933 223944657866 447889315732 783806302531 1567612605062 3135225210124