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131012031020 = 225131733918741
BaseRepresentation
bin111101000000011101…
…1001111001000101100
3110112011110020202012012
41322000323033020230
54121303034443040
6140104110300352
712315412614053
oct1720073171054
9415143222165
10131012031020
115061a970002
12214837b76b8
13c47b764b60
1464aba6939a
15361bb1e865
hex1e80ecf22c

131012031020 has 96 divisors (see below), whose sum is σ = 313845912576. Its totient is φ = 45509529600.

The previous prime is 131012031001. The next prime is 131012031053. The reversal of 131012031020 is 20130210131.

It is a junction number, because it is equal to n+sod(n) for n = 131012030986 and 131012031004.

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, 14983850 + ... + 14992590.

It is an arithmetic number, because the mean of its divisors is an integer number (3269228256).

Almost surely, 2131012031020 is an apocalyptic number.

131012031020 is a gapful number since it is divisible by the number (10) 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 131012031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156922956288).

131012031020 is an abundant number, since it is smaller than the sum of its proper divisors (182833881556).

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

131012031020 is a wasteful number, since it uses less digits than its factorization.

131012031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12171 (or 12169 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 131012031020 its reverse (20130210131), we get a palindrome (151142241151).

The spelling of 131012031020 in words is "one hundred thirty-one billion, twelve million, thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 3391 4420 6782 8741 13564 16955 17482 33910 34964 43705 44083 57647 67820 87410 88166 113633 115294 148597 174820 176332 220415 227266 230588 288235 297194 440830 454532 568165 576470 594388 742985 749411 881660 1136330 1152940 1485970 1498822 1931761 2272660 2971940 2997644 3747055 3863522 7494110 7727044 9658805 14988220 19317610 29640731 38635220 59281462 118562924 148203655 296407310 385329503 503892427 592814620 770659006 1007784854 1541318012 1926647515 2015569708 2519462135 3853295030 5038924270 6550601551 7706590060 10077848540 13101203102 26202406204 32753007755 65506015510 131012031020