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31311203121 = 321119374110973
BaseRepresentation
bin11101001010010010…
…110000101100110001
32222211010112220220200
4131022102300230301
51003111131444441
622214551425413
72155630556322
oct351222605461
988733486820
1031311203121
11123083a3380
12609a085269
132c4cc23433
141730644449
15c33ccd7b6
hex74a4b0b31

31311203121 has 96 divisors (see below), whose sum is σ = 54645252480. Its totient is φ = 17063654400.

The previous prime is 31311203107. The next prime is 31311203123. The reversal of 31311203121 is 12130211313.

31311203121 is a `hidden beast` number, since 31 + 311 + 203 + 121 = 666.

It is not a de Polignac number, because 31311203121 - 215 = 31311170353 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31311203094 and 31311203103.

It is not an unprimeable number, because it can be changed into a prime (31311203123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2847991 + ... + 2858963.

It is an arithmetic number, because the mean of its divisors is an integer number (569221380).

Almost surely, 231311203121 is an apocalyptic number.

It is an amenable number.

31311203121 is a deficient number, since it is larger than the sum of its proper divisors (23334049359).

31311203121 is a wasteful number, since it uses less digits than its factorization.

31311203121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11087 (or 11084 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31311203121 its reverse (12130211313), we get a palindrome (43441414434).

It can be divided in two parts, 31311 and 203121, that added together give a palindrome (234432).

The spelling of 31311203121 in words is "thirty-one billion, three hundred eleven million, two hundred three thousand, one hundred twenty-one".

Divisors: 1 3 9 11 19 33 37 41 57 99 111 123 171 209 333 369 407 451 627 703 779 1221 1353 1517 1881 2109 2337 3663 4059 4551 6327 7011 7733 8569 10973 13653 16687 23199 25707 28823 32919 50061 69597 77121 86469 98757 120703 150183 208487 259407 317053 362109 406001 449893 625461 951159 1086327 1218003 1349679 1876383 2293357 2853477 3654009 4049037 4466011 4948823 6880071 7714019 8547967 13398033 14846469 16646041 20640213 23142057 25643901 40194099 44539407 49938123 69426171 76931703 84854209 94027637 149814369 183106451 254562627 282082911 316274779 549319353 763687881 846248733 948824337 1647958059 2846473011 3479022569 10437067707 31311203121