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131301160 = 23537791123
BaseRepresentation
bin1111101001101…
…11111100101000
3100011001210022221
413310313330220
5232103114120
621010123424
73153020134
oct764677450
9304053287
10131301160
1168130561
1237b80574
1321282ac3
141361c3c4
15b7d90aa
hex7d37f28

131301160 has 64 divisors (see below), whose sum is σ = 307526400. Its totient is φ = 50409216.

The previous prime is 131301119. The next prime is 131301161. The reversal of 131301160 is 61103131.

It is not an unprimeable number, because it can be changed into a prime (131301161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116359 + ... + 117481.

It is an arithmetic number, because the mean of its divisors is an integer number (4805100).

Almost surely, 2131301160 is an apocalyptic number.

131301160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131301160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153763200).

131301160 is an abundant number, since it is smaller than the sum of its proper divisors (176225240).

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

131301160 is a wasteful number, since it uses less digits than its factorization.

131301160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 131301160 is about 11458.6718253033. The cubic root of 131301160 is about 508.2642000999.

Adding to 131301160 its reverse (61103131), we get a palindrome (192404291).

The spelling of 131301160 in words is "one hundred thirty-one million, three hundred one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 37 40 74 79 148 158 185 296 316 370 395 632 740 790 1123 1480 1580 2246 2923 3160 4492 5615 5846 8984 11230 11692 14615 22460 23384 29230 41551 44920 58460 83102 88717 116920 166204 177434 207755 332408 354868 415510 443585 709736 831020 887170 1662040 1774340 3282529 3548680 6565058 13130116 16412645 26260232 32825290 65650580 131301160