Search a number
-
+
31010102112 = 2531143367819
BaseRepresentation
bin11100111000010110…
…001001101101100000
32222001010222101222110
4130320112021231200
51002002041231422
622125034035320
72145313342653
oct347026115540
988033871873
1031010102112
1112173437770
126015278b40
132c0272b462
14170266589a
15c1765360c
hex738589b60

31010102112 has 96 divisors (see below), whose sum is σ = 89008053120. Its totient is φ = 9375160320.

The previous prime is 31010102099. The next prime is 31010102113. The reversal of 31010102112 is 21120101013.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31010102113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423339 + ... + 491157.

It is an arithmetic number, because the mean of its divisors is an integer number (927167220).

Almost surely, 231010102112 is an apocalyptic number.

31010102112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31010102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44504026560).

31010102112 is an abundant number, since it is smaller than the sum of its proper divisors (57997951008).

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

31010102112 is a wasteful number, since it uses less digits than its factorization.

31010102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68276 (or 68268 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 31010102112 its reverse (21120101013), we get a palindrome (52130203125).

The spelling of 31010102112 in words is "thirty-one billion, ten million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 433 528 866 1056 1299 1732 2598 3464 4763 5196 6928 9526 10392 13856 14289 19052 20784 28578 38104 41568 57156 67819 76208 114312 135638 152416 203457 228624 271276 406914 457248 542552 746009 813828 1085104 1492018 1627656 2170208 2238027 2984036 3255312 4476054 5968072 6510624 8952108 11936144 17904216 23872288 29365627 35808432 58731254 71616864 88096881 117462508 176193762 234925016 323021897 352387524 469850032 646043794 704775048 939700064 969065691 1292087588 1409550096 1938131382 2584175176 2819100192 3876262764 5168350352 7752525528 10336700704 15505051056 31010102112