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131141122400420 = 225112920555034859
BaseRepresentation
bin11101110100010110101100…
…000001000010000010100100
3122012022222011022010102220222
4131310112230001002002210
5114142104004313303140
61142525222215143512
736423430160110316
oct3564265401020244
9565288138112828
10131141122400420
1138870701831310
1212860040674b98
135823729b07572
14245539ad237b6
15102643533e5b5
hex7745ac0420a4

131141122400420 has 48 divisors (see below), whose sum is σ = 310792127083200. Its totient is φ = 46043278081920.

The previous prime is 131141122400389. The next prime is 131141122400443. The reversal of 131141122400420 is 24004221141131.

It is a self number, because there is not a number n which added to its sum of digits gives 131141122400420.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10277511050 + ... + 10277523809.

It is an arithmetic number, because the mean of its divisors is an integer number (6474835980900).

Almost surely, 2131141122400420 is an apocalyptic number.

131141122400420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141122400420 is an abundant number, since it is smaller than the sum of its proper divisors (179651004682780).

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

131141122400420 is a wasteful number, since it uses less digits than its factorization.

131141122400420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20555034908 (or 20555034906 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 131141122400420 its reverse (24004221141131), we get a palindrome (155145343541551).

The spelling of 131141122400420 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred twenty-two million, four hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 6380 20555034859 41110069718 82220139436 102775174295 205550348590 226105383449 411100697180 452210766898 596096010911 904421533796 1130526917245 1192192021822 2261053834490 2384384043644 2980480054555 4522107668980 5960960109110 6557056120021 11921920218220 13114112240042 26228224480084 32785280600105 65570561200210 131141122400420