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131022242101300 = 225211119111129183
BaseRepresentation
bin11101110010100111111110…
…001100101011100000110100
3122011220121022022212112021111
4131302213332030223200310
5114133132022434220200
61142354442001524404
736412021205203054
oct3562477614534064
9564817268775244
10131022242101300
1138825247a18020
1212840ba3943704
1358154628ab0c4
14244d7205a7564
1510232c88120ba
hex7729fe32b834

131022242101300 has 36 divisors (see below), whose sum is σ = 310165380395136. Its totient is φ = 47644451672800.

The previous prime is 131022242101277. The next prime is 131022242101301. The reversal of 131022242101300 is 3101242220131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131022242101301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59555563492 + ... + 59555565691.

It is an arithmetic number, because the mean of its divisors is an integer number (8615705010976).

Almost surely, 2131022242101300 is an apocalyptic number.

131022242101300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131022242101300 is an abundant number, since it is smaller than the sum of its proper divisors (179143138293836).

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

131022242101300 is a wasteful number, since it uses less digits than its factorization.

131022242101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119111129208 (or 119111129201 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 131022242101300 its reverse (3101242220131), we get a palindrome (134123484321431).

The spelling of 131022242101300 in words is "one hundred thirty-one trillion, twenty-two billion, two hundred forty-two million, one hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 119111129183 238222258366 476444516732 595555645915 1191111291830 1310222421013 2382222583660 2620444842026 2977778229575 5240889684052 5955556459150 6551112105065 11911112918300 13102224210130 26204448420260 32755560525325 65511121050650 131022242101300