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31113323132130 = 2335231529497711
BaseRepresentation
bin1110001001100001000101…
…00100101011010011100010
311002011101220222120202122000
413010300202210223103202
513034230041210212010
6150101132513424430
76360602103023451
oct704604244532342
9132141828522560
1031113323132130
119a060a4870448
1235a5b78b6b116
131448c87525c55
14797c70094b98
1538e4e02597c0
hex1c4c2292b4e2

31113323132130 has 64 divisors (see below), whose sum is σ = 82969386739200. Its totient is φ = 8296833663360.

The previous prime is 31113323132123. The next prime is 31113323132167. The reversal of 31113323132130 is 3123132331113.

31113323132130 is a `hidden beast` number, since 3 + 1 + 1 + 1 + 332 + 3 + 1 + 321 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31113323132094 and 31113323132103.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 62263975 + ... + 62761685.

It is an arithmetic number, because the mean of its divisors is an integer number (1296396667800).

Almost surely, 231113323132130 is an apocalyptic number.

31113323132130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31113323132130 is an abundant number, since it is smaller than the sum of its proper divisors (51856063607070).

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

31113323132130 is a wasteful number, since it uses less digits than its factorization.

31113323132130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729256 (or 729250 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 31113323132130 its reverse (3123132331113), we get a palindrome (34236455463243).

The spelling of 31113323132130 in words is "thirty-one trillion, one hundred thirteen billion, three hundred twenty-three million, one hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 231529 463058 497711 694587 995422 1157645 1389174 1493133 2083761 2315290 2488555 2986266 3472935 4167522 4479399 4977110 6251283 6945870 7465665 8958798 10418805 12502566 13438197 14931330 20837610 22396995 26876394 31256415 44793990 62512830 67190985 134381970 115234530119 230469060238 345703590357 576172650595 691407180714 1037110771071 1152345301190 1728517951785 2074221542142 3111332313213 3457035903570 5185553855355 6222664626426 10371107710710 15556661566065 31113323132130