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31113302112 = 2532255142349
BaseRepresentation
bin11100111110011111…
…110101000001100000
32222022100011111202200
4130332133311001200
51002210001131422
622143202013200
72151005463414
oct347637650140
988270144680
1031113302112
1112216714422
126043947200
132c1ac22649
14171224ad44
15c2173b2ac
hex73e7f5060

31113302112 has 72 divisors (see below), whose sum is σ = 88515226800. Its totient is φ = 10366790400.

The previous prime is 31113302083. The next prime is 31113302119. The reversal of 31113302112 is 21120331113.

31113302112 is a `hidden beast` number, since 311 + 1 + 330 + 21 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31113302119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 713514 + ... + 755862.

It is an arithmetic number, because the mean of its divisors is an integer number (1229378150).

Almost surely, 231113302112 is an apocalyptic number.

31113302112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31113302112 is an abundant number, since it is smaller than the sum of its proper divisors (57401924688).

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

31113302112 is a wasteful number, since it uses less digits than its factorization.

31113302112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44916 (or 44905 counting only the distinct ones).

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

Adding to 31113302112 its reverse (21120331113), we get a palindrome (52233633225).

The spelling of 31113302112 in words is "thirty-one billion, one hundred thirteen million, three hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2551 5102 7653 10204 15306 20408 22959 30612 40816 42349 45918 61224 81632 84698 91836 122448 127047 169396 183672 244896 254094 338792 367344 381141 508188 677584 734688 762282 1016376 1355168 1524564 2032752 3049128 4065504 6098256 12196512 108032299 216064598 324096897 432129196 648193794 864258392 972290691 1296387588 1728516784 1944581382 2592775176 3457033568 3889162764 5185550352 7778325528 10371100704 15556651056 31113302112