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131013324 = 2232132711033
BaseRepresentation
bin1111100111100…
…01101011001100
3100010112011111100
413303301223030
5232014411244
621000023100
73150411021
oct763615314
9303464440
10131013324
1167a54282
1237a61a90
13211b1aa0
1413585548
15b77db69
hex7cf1acc

131013324 has 72 divisors (see below), whose sum is σ = 358309952. Its totient is φ = 40124160.

The previous prime is 131013317. The next prime is 131013331. The reversal of 131013324 is 423310131.

It is an interprime number because it is at equal distance from previous prime (131013317) and next prime (131013331).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131013297 and 131013306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126312 + ... + 127344.

Almost surely, 2131013324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131013324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179154976).

131013324 is an abundant number, since it is smaller than the sum of its proper divisors (227296628).

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

131013324 is a wasteful number, since it uses less digits than its factorization.

131013324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131013324 is about 11446.1051891025. The cubic root of 131013324 is about 507.8925258825.

Adding to 131013324 its reverse (423310131), we get a palindrome (554323455).

The spelling of 131013324 in words is "one hundred thirty-one million, thirteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 271 468 542 813 1033 1084 1626 2066 2439 3099 3252 3523 4132 4878 6198 7046 9297 9756 10569 12396 13429 14092 18594 21138 26858 31707 37188 40287 42276 53716 63414 80574 120861 126828 161148 241722 279943 483444 559886 839829 1119772 1679658 2519487 3359316 3639259 5038974 7278518 10077948 10917777 14557036 21835554 32753331 43671108 65506662 131013324