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131031113130 = 2335835846993
BaseRepresentation
bin111101000001000010…
…0000001110110101010
3110112012210011012221000
41322002010001312222
54121322431110010
6140110031255430
712316034041041
oct1720204016652
9415183135830
10131031113130
115062a713745
122148a07a576
13c4826b6548
1464b03d5558
15361d63d7c0
hex1e82101daa

131031113130 has 64 divisors (see below), whose sum is σ = 353626197120. Its totient is φ = 34520640768.

The previous prime is 131031113123. The next prime is 131031113159. The reversal of 131031113130 is 31311130131.

131031113130 is a `hidden beast` number, since 1 + 310 + 31 + 11 + 313 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2901087 + ... + 2945906.

It is an arithmetic number, because the mean of its divisors is an integer number (5525409330).

Almost surely, 2131031113130 is an apocalyptic number.

131031113130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131031113130 is an abundant number, since it is smaller than the sum of its proper divisors (222595083990).

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

131031113130 is a wasteful number, since it uses less digits than its factorization.

131031113130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5847092 (or 5847086 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 131031113130 its reverse (31311130131), we get a palindrome (162342243261).

The spelling of 131031113130 in words is "one hundred thirty-one billion, thirty-one million, one hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 83 90 135 166 249 270 415 498 747 830 1245 1494 2241 2490 3735 4482 7470 11205 22410 5846993 11693986 17540979 29234965 35081958 52622937 58469930 87704895 105245874 157868811 175409790 263114685 315737622 485300419 526229370 789344055 970600838 1455901257 1578688110 2426502095 2911802514 4367703771 4853004190 7279506285 8735407542 13103111313 14559012570 21838518855 26206222626 43677037710 65515556565 131031113130