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131023231340200 = 23523717705842073
BaseRepresentation
bin11101110010101000111001…
…001010010100111010101000
3122011220200212021022001221021
4131302220321022110322220
5114133141034210341300
61142355124100422224
736412054546454353
oct3562507112247250
9564820767261837
10131023231340200
1138825705360931
121284121b0a7974
13581558c81b174
14244d7b5b1329a
1510233355b9d1a
hex772a39294ea8

131023231340200 has 48 divisors (see below), whose sum is σ = 312862229447580. Its totient is φ = 50992825167360.

The previous prime is 131023231340119. The next prime is 131023231340251. The reversal of 131023231340200 is 2043132320131.

It can be written as a sum of positive squares in 6 ways, for example, as 75804570122724 + 55218661217476 = 8706582^2 + 7430926^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8852913637 + ... + 8852928436.

Almost surely, 2131023231340200 is an apocalyptic number.

131023231340200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131023231340200 is an abundant number, since it is smaller than the sum of its proper divisors (181838998107380).

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

131023231340200 is a wasteful number, since it uses less digits than its factorization.

131023231340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17705842126 (or 17705842117 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 131023231340200 its reverse (2043132320131), we get a palindrome (133066363660331).

The spelling of 131023231340200 in words is "one hundred thirty-one trillion, twenty-three billion, two hundred thirty-one million, three hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1480 1850 3700 7400 17705842073 35411684146 70823368292 88529210365 141646736584 177058420730 354116841460 442646051825 655116156701 708233682920 885292103650 1310232313402 1770584207300 2620464626804 3275580783505 3541168414600 5240929253608 6551161567010 13102323134020 16377903917525 26204646268040 32755807835050 65511615670100 131023231340200