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13132401320 = 235328310033
BaseRepresentation
bin11000011101100000…
…01000101010101000
31020220012221002221002
430032300020222220
5203343343320240
610011040534132
7643301366213
oct141660105250
936805832832
1013132401320
115629997535
122666021348
13131394b48c
148c819277a
1551cda6d15
hex30ec08aa8

13132401320 has 16 divisors (see below), whose sum is σ = 29547903060. Its totient is φ = 5252960512.

The previous prime is 13132401299. The next prime is 13132401341. The reversal of 13132401320 is 2310423131.

It is an interprime number because it is at equal distance from previous prime (13132401299) and next prime (13132401341).

It can be written as a sum of positive squares in 2 ways, for example, as 12561478084 + 570923236 = 112078^2 + 23894^2 .

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 = 13132401292 and 13132401301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 164154977 + ... + 164155056.

Almost surely, 213132401320 is an apocalyptic number.

13132401320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13132401320 is an abundant number, since it is smaller than the sum of its proper divisors (16415501740).

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

13132401320 is a wasteful number, since it uses less digits than its factorization.

13132401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328310044 (or 328310040 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13132401320 its reverse (2310423131), we get a palindrome (15442824451).

The spelling of 13132401320 in words is "thirteen billion, one hundred thirty-two million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 328310033 656620066 1313240132 1641550165 2626480264 3283100330 6566200660 13132401320