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131020331100 = 2235217191352119
BaseRepresentation
bin111101000000101101…
…0111001100001011100
3110112012000212102202120
41322001122321201130
54121312201043400
6140105004222540
712315543303411
oct1720132714134
9415160772676
10131020331100
1150624619a7a
122148653aa50
13c4803aca49
1464acbca108
15361c70dca0
hex1e816b985c

131020331100 has 144 divisors (see below), whose sum is σ = 422510457600. Its totient is φ = 31152798720.

The previous prime is 131020331051. The next prime is 131020331129. The reversal of 131020331100 is 1133020131.

131020331100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131020331100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 579160 + ... + 772959.

It is an arithmetic number, because the mean of its divisors is an integer number (2934100400).

Almost surely, 2131020331100 is an apocalyptic number.

131020331100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131020331100 is an abundant number, since it is smaller than the sum of its proper divisors (291490126500).

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

131020331100 is a wasteful number, since it uses less digits than its factorization.

131020331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352172 (or 1352165 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 131020331100 its reverse (1133020131), we get a palindrome (132153351231).

The spelling of 131020331100 in words is "one hundred thirty-one billion, twenty million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 25 30 34 38 50 51 57 60 68 75 76 85 95 100 102 114 150 170 190 204 228 255 285 300 323 340 380 425 475 510 570 646 850 950 969 1020 1140 1275 1292 1425 1615 1700 1900 1938 2550 2850 3230 3876 4845 5100 5700 6460 8075 9690 16150 19380 24225 32300 48450 96900 1352119 2704238 4056357 5408476 6760595 8112714 13521190 16225428 20281785 22986023 25690261 27042380 33802975 40563570 45972046 51380522 67605950 68958069 77070783 81127140 91944092 101408925 102761044 114930115 128451305 135211900 137916138 154141566 202817850 229860230 256902610 275832276 308283132 344790345 385353915 405635700 436734437 459720460 513805220 574650575 642256525 689580690 770707830 873468874 1149301150 1284513050 1310203311 1379161380 1541415660 1723951725 1746937748 1926769575 2183672185 2298602300 2569026100 2620406622 3447903450 3853539150 4367344370 5240813244 6551016555 6895806900 7707078300 8734688740 10918360925 13102033110 21836721850 26204066220 32755082775 43673443700 65510165550 131020331100