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13001312232 = 2332180573781
BaseRepresentation
bin11000001101111000…
…00100011111101000
31020120002021002111200
430012330010133220
5203111313442412
65550035124200
7640120221246
oct140674043750
936502232450
1013001312232
1155719a1347
12262a143660
1312c274107c
148b49cb796
155116109dc
hex306f047e8

13001312232 has 24 divisors (see below), whose sum is σ = 35211887490. Its totient is φ = 4333770720.

The previous prime is 13001312213. The next prime is 13001312249. The reversal of 13001312232 is 23221310031.

13001312232 is a `hidden beast` number, since 1 + 300 + 131 + 2 + 232 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12997368036 + 3944196 = 114006^2 + 1986^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 90286819 + ... + 90286962.

Almost surely, 213001312232 is an apocalyptic number.

13001312232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13001312232 is an abundant number, since it is smaller than the sum of its proper divisors (22210575258).

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

13001312232 is a wasteful number, since it uses less digits than its factorization.

13001312232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180573793 (or 180573786 counting only the distinct ones).

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

Adding to 13001312232 its reverse (23221310031), we get a palindrome (36222622263).

The spelling of 13001312232 in words is "thirteen billion, one million, three hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 180573781 361147562 541721343 722295124 1083442686 1444590248 1625164029 2166885372 3250328058 4333770744 6500656116 13001312232