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131034031020 = 22335594112807
BaseRepresentation
bin111101000001000111…
…1001010001110101100
3110112012222122110112000
41322002033022032230
54121324202443040
6140110214012300
712316100613024
oct1720217121654
9415188573460
10131034031020
1150631326a22
122148b047090
13c4831986c9
1464b0954a84
15361da18130
hex1e823ca3ac

131034031020 has 96 divisors (see below), whose sum is σ = 414571046400. Its totient is φ = 34350155712.

The previous prime is 131034030973. The next prime is 131034031067. The reversal of 131034031020 is 20130430131.

131034031020 is a `hidden beast` number, since 1 + 3 + 10 + 340 + 310 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (131034030973) and next prime (131034031067).

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

It is a junction number, because it is equal to n+sod(n) for n = 131034030984 and 131034031002.

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, 2024544 + ... + 2088263.

It is an arithmetic number, because the mean of its divisors is an integer number (4318448400).

Almost surely, 2131034031020 is an apocalyptic number.

131034031020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131034031020 is an abundant number, since it is smaller than the sum of its proper divisors (283537015380).

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

131034031020 is a wasteful number, since it uses less digits than its factorization.

131034031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4112884 (or 4112876 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131034031020 its reverse (20130430131), we get a palindrome (151164461151).

The spelling of 131034031020 in words is "one hundred thirty-one billion, thirty-four million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 90 108 118 135 177 180 236 270 295 354 531 540 590 708 885 1062 1180 1593 1770 2124 2655 3186 3540 5310 6372 7965 10620 15930 31860 4112807 8225614 12338421 16451228 20564035 24676842 37015263 41128070 49353684 61692105 74030526 82256140 111045789 123384210 148061052 185076315 222091578 242655613 246768420 370152630 444183156 485311226 555228945 727966839 740305260 970622452 1110457890 1213278065 1455933678 2183900517 2220915780 2426556130 2911867356 3639834195 4367801034 4853112260 6551701551 7279668390 8735602068 10919502585 13103403102 14559336780 21839005170 26206806204 32758507755 43678010340 65517015510 131034031020