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131102140 = 22513601839
BaseRepresentation
bin1111101000001…
…11010110111100
3100010200200022211
413310013112330
5232030232030
621001550204
73151230661
oct764072674
9303620284
10131102140
1168004a84
1237aa5364
1321213340
14135a9a68
15b79a12a
hex7d075bc

131102140 has 48 divisors (see below), whose sum is σ = 297339840. Its totient is φ = 48268800.

The previous prime is 131102089. The next prime is 131102177. The reversal of 131102140 is 41201131.

It is a super-2 number, since 2×1311021402 = 34375542225159200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 131102140.

It is a congruent number.

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, 155841 + ... + 156679.

It is an arithmetic number, because the mean of its divisors is an integer number (6194580).

Almost surely, 2131102140 is an apocalyptic number.

131102140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131102140 is an abundant number, since it is smaller than the sum of its proper divisors (166237700).

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

131102140 is a wasteful number, since it uses less digits than its factorization.

131102140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 131102140 is about 11449.9842794652. The cubic root of 131102140 is about 508.0072694105.

Adding to 131102140 its reverse (41201131), we get a palindrome (172303271).

The spelling of 131102140 in words is "one hundred thirty-one million, one hundred two thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 601 839 1202 1678 2404 3005 3356 4195 6010 7813 8390 10907 12020 15626 16780 21814 31252 39065 43628 54535 78130 109070 156260 218140 504239 1008478 2016956 2521195 5042390 6555107 10084780 13110214 26220428 32775535 65551070 131102140