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131024021040020 = 2259257707702393
BaseRepresentation
bin11101110010101001101000…
…001110110010101110010100
3122011220202220022020222102202
4131302221220032302232110
5114133144143341240040
61142355334310424032
736412113246011243
oct3562515016625624
9564822808228382
10131024021040020
1138825a800a7009
12128413bb662018
135815687305974
14244d84c95a95a
15102337eaaa015
hex772a683b2b94

131024021040020 has 24 divisors (see below), whose sum is σ = 275180168073384. Its totient is φ = 52403946722816.

The previous prime is 131024021040013. The next prime is 131024021040041. The reversal of 131024021040020 is 20040120420131.

It can be written as a sum of positive squares in 4 ways, for example, as 8518482798736 + 122505538241284 = 2918644^2 + 11068222^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131024021039974 and 131024021040001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 353666057 + ... + 354036336.

It is an arithmetic number, because the mean of its divisors is an integer number (11465840336391).

Almost surely, 2131024021040020 is an apocalyptic number.

131024021040020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131024021040020 is an abundant number, since it is smaller than the sum of its proper divisors (144156147033364).

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

131024021040020 is a wasteful number, since it uses less digits than its factorization.

131024021040020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707711659 (or 707711657 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 131024021040020 its reverse (20040120420131), we get a palindrome (151064141460151).

The spelling of 131024021040020 in words is "one hundred thirty-one trillion, twenty-four billion, twenty-one million, forty thousand, twenty".

Divisors: 1 2 4 5 10 20 9257 18514 37028 46285 92570 185140 707702393 1415404786 2830809572 3538511965 7077023930 14154047860 6551201052001 13102402104002 26204804208004 32756005260005 65512010520010 131024021040020