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131273120 = 2551174587
BaseRepresentation
bin1111101001100…
…01000110100000
3100011000100212102
413310301012200
5232101214440
621005345532
73152542316
oct764610640
9304010772
10131273120
1168111490
1237b682a8
1321273104
14136120b6
15b7d0b15
hex7d311a0

131273120 has 48 divisors (see below), whose sum is σ = 338331168. Its totient is φ = 47735040.

The previous prime is 131273113. The next prime is 131273137. The reversal of 131273120 is 21372131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131273092 and 131273101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35534 + ... + 39053.

It is an arithmetic number, because the mean of its divisors is an integer number (7048566).

Almost surely, 2131273120 is an apocalyptic number.

131273120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131273120 is an abundant number, since it is smaller than the sum of its proper divisors (207058048).

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

131273120 is a wasteful number, since it uses less digits than its factorization.

131273120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74613 (or 74605 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 131273120 is about 11457.4482324818. The cubic root of 131273120 is about 508.2280167618.

131273120 divided by its sum of digits (20) gives a palindrome (6563656).

The spelling of 131273120 in words is "one hundred thirty-one million, two hundred seventy-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 74587 149174 298348 372935 596696 745870 820457 1193392 1491740 1640914 2386784 2983480 3281828 4102285 5966960 6563656 8204570 11933920 13127312 16409140 26254624 32818280 65636560 131273120