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131122740 = 22357312197
BaseRepresentation
bin1111101000011…
…00011000110100
3100010201201120210
413310030120310
5232031411430
621002225420
73151345020
oct764143064
9303651523
10131122740
1168019501
1237ab5270
132121c828
14135b3380
15b7a12b0
hex7d0c634

131122740 has 48 divisors (see below), whose sum is σ = 419594112. Its totient is φ = 29970816.

The previous prime is 131122723. The next prime is 131122753. The reversal of 131122740 is 47221131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155679 + ... + 156518.

It is an arithmetic number, because the mean of its divisors is an integer number (8741544).

Almost surely, 2131122740 is an apocalyptic number.

131122740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131122740 is an abundant number, since it is smaller than the sum of its proper divisors (288471372).

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

131122740 is a wasteful number, since it uses less digits than its factorization.

131122740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312216 (or 312214 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 131122740 is about 11450.8838086848. The cubic root of 131122740 is about 508.0338756421.

Adding to 131122740 its reverse (47221131), we get a palindrome (178343871).

The spelling of 131122740 in words is "one hundred thirty-one million, one hundred twenty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 312197 624394 936591 1248788 1560985 1873182 2185379 3121970 3746364 4370758 4682955 6243940 6556137 8741516 9365910 10926895 13112274 18731820 21853790 26224548 32780685 43707580 65561370 131122740