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131033320 = 23511227073
BaseRepresentation
bin1111100111101…
…10100011101000
3100010120011220221
413303312203220
5232021031240
621000255424
73150523225
oct763664350
9303504827
10131033320
1167a68300
1237a71574
13211bac12
141358c94c
15b784a4a
hex7cf68e8

131033320 has 48 divisors (see below), whose sum is σ = 324075780. Its totient is φ = 47646720.

The previous prime is 131033267. The next prime is 131033327. The reversal of 131033320 is 23330131.

It can be written as a sum of positive squares in 2 ways, for example, as 130370724 + 662596 = 11418^2 + 814^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131033294 and 131033303.

It is not an unprimeable number, because it can be changed into a prime (131033327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8697 + ... + 18376.

Almost surely, 2131033320 is an apocalyptic number.

131033320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131033320 is an abundant number, since it is smaller than the sum of its proper divisors (193042460).

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

131033320 is a wasteful number, since it uses less digits than its factorization.

131033320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27106 (or 27091 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 131033320 is about 11446.9786406720. The cubic root of 131033320 is about 507.9183637184.

Adding to 131033320 its reverse (23330131), we get a palindrome (154363451).

The spelling of 131033320 in words is "one hundred thirty-one million, thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 27073 54146 108292 135365 216584 270730 297803 541460 595606 1082920 1191212 1489015 2382424 2978030 3275833 5956060 6551666 11912120 13103332 16379165 26206664 32758330 65516660 131033320