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31164246113 = 71121373137283
BaseRepresentation
bin11101000001100010…
…001010100001100001
32222102220000201210112
4131001202022201201
51002311021333423
622152221541105
72152164502250
oct350142124141
988386021715
1031164246113
111224244a400
126058a14795
132c2864b620
141718d0c797
15c25e50a78
hex74188a861

31164246113 has 96 divisors (see below), whose sum is σ = 43201498368. Its totient is φ = 21869844480.

The previous prime is 31164246109. The next prime is 31164246163.

It is a happy number.

31164246113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31164246113 - 22 = 31164246109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31164246113.

It is not an unprimeable number, because it can be changed into a prime (31164246103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110120870 + ... + 110121152.

It is an arithmetic number, because the mean of its divisors is an integer number (450015608).

Almost surely, 231164246113 is an apocalyptic number.

It is an amenable number.

31164246113 is a deficient number, since it is larger than the sum of its proper divisors (12037252255).

31164246113 is a wasteful number, since it uses less digits than its factorization.

31164246113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 524 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The spelling of 31164246113 in words is "thirty-one billion, one hundred sixty-four million, two hundred forty-six thousand, one hundred thirteen".

Divisors: 1 7 11 13 73 77 91 121 137 143 283 511 803 847 949 959 1001 1507 1573 1781 1981 3113 3679 5621 6643 8833 10001 10439 10549 11011 12467 16577 19591 20659 21791 25753 34243 38771 40469 61831 70007 73073 110011 114829 116039 130013 137137 144613 215501 227249 239701 268567 271397 283283 426481 445159 504023 770077 803803 910091 1210121 1430143 1508507 1590743 1879969 2499739 2830283 2954237 2985367 3116113 3528161 4691291 5544253 8470847 10011001 15731573 17498173 19811981 20679659 31133113 32496607 32839037 36793679 38809771 60986783 110121011 217931791 227476249 257555753 342464243 404730469 426907481 2397249701 2833113283 4452035159 31164246113