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131420200 = 23521738653
BaseRepresentation
bin1111101010101…
…01000000101000
3100011021211121211
413311111000220
5232120421300
621012442504
73154024162
oct765250050
9304254554
10131420200
1168201a3a
1238019434
13212c5042
141364d932
15b80e4ba
hex7d55028

131420200 has 48 divisors (see below), whose sum is σ = 323533980. Its totient is φ = 49474560.

The previous prime is 131420173. The next prime is 131420269. The reversal of 131420200 is 2024131.

It can be written as a sum of positive squares in 6 ways, for example, as 35497764 + 95922436 = 5958^2 + 9794^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15927 + ... + 22726.

Almost surely, 2131420200 is an apocalyptic number.

131420200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131420200 is an abundant number, since it is smaller than the sum of its proper divisors (192113780).

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

131420200 is a wasteful number, since it uses less digits than its factorization.

131420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38686 (or 38677 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 131420200 is about 11463.8649678021. The cubic root of 131420200 is about 508.4177542015.

Adding to 131420200 its reverse (2024131), we get a palindrome (133444331).

The spelling of 131420200 in words is "one hundred thirty-one million, four hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 38653 77306 154612 193265 309224 386530 657101 773060 966325 1314202 1546120 1932650 2628404 3285505 3865300 5256808 6571010 7730600 13142020 16427525 26284040 32855050 65710100 131420200