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131330322103300 = 225217157492058157
BaseRepresentation
bin11101110111000110111001…
…001100100111110000000100
3122020000001111221202012000221
4131313012321030213300010
5114203203444424301200
61143152152253314124
736443205545050525
oct3567067114476004
9566001457665027
10131330322103300
1138933971064421
1212890843195944
13583851c6b1088
1424605c887a84c
15102b30a52091a
hex7771b9327c04

131330322103300 has 72 divisors (see below), whose sum is σ = 303672708093384. Its totient is φ = 49127086295040.

The previous prime is 131330322103207. The next prime is 131330322103333. The reversal of 131330322103300 is 3301223033131.

It can be written as a sum of positive squares in 12 ways, for example, as 52513675343424 + 78816646759876 = 7246632^2 + 8877874^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245762179 + ... + 246295978.

It is an arithmetic number, because the mean of its divisors is an integer number (4217676501297).

Almost surely, 2131330322103300 is an apocalyptic number.

131330322103300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131330322103300 is an abundant number, since it is smaller than the sum of its proper divisors (172342385990084).

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

131330322103300 is a wasteful number, since it uses less digits than its factorization.

131330322103300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492058345 (or 492058338 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 131330322103300 its reverse (3301223033131), we get a palindrome (134631545136431).

The spelling of 131330322103300 in words is "one hundred thirty-one trillion, three hundred thirty billion, three hundred twenty-two million, one hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 157 170 314 340 425 628 785 850 1570 1700 2669 3140 3925 5338 7850 10676 13345 15700 26690 53380 66725 133450 266900 492058157 984116314 1968232628 2460290785 4920581570 8364988669 9841163140 12301453925 16729977338 24602907850 33459954676 41824943345 49205815700 77253130649 83649886690 154506261298 167299773380 209124716725 309012522596 386265653245 418249433450 772531306490 836498866900 1313303221033 1545062612980 1931328266225 2626606442066 3862656532450 5253212884132 6566516105165 7725313064900 13133032210330 26266064420660 32832580525825 65665161051650 131330322103300