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13271132160 = 21132511131953
BaseRepresentation
bin11000101110000010…
…10110100000000000
31021020212222100212100
430113001112200000
5204134402212120
610032514230400
7646604522256
oct142701264000
937225870770
1013271132160
1156a0232020
1226a4585400
131336602c30
148dc7865d6
1552a15c490
hex317056800

13271132160 has 1152 divisors, whose sum is σ = 57953750400. Its totient is φ = 2760376320.

The previous prime is 13271132117. The next prime is 13271132167. The reversal of 13271132160 is 6123117231.

13271132160 is a `hidden beast` number, since 1 + 327 + 11 + 321 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×132711321602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13271132167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 250398694 + ... + 250398746.

It is an arithmetic number, because the mean of its divisors is an integer number (50307075).

Almost surely, 213271132160 is an apocalyptic number.

13271132160 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 13271132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28976875200).

13271132160 is an abundant number, since it is smaller than the sum of its proper divisors (44682618240).

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

13271132160 is a wasteful number, since it uses less digits than its factorization.

13271132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 13271132160 its reverse (6123117231), we get a palindrome (19394249391).

The spelling of 13271132160 in words is "thirteen billion, two hundred seventy-one million, one hundred thirty-two thousand, one hundred sixty".