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131711010480 = 24325737706301
BaseRepresentation
bin111101010101010010…
…1101000011010110000
3110120222011111120202100
41322222211220122300
54124221004313410
6140301320020400
712341631055050
oct1725245503260
9416864446670
10131711010480
1150949482685
1221639901700
13c56050787a
146536819560
15365d18e8c0
hex1eaa9686b0

131711010480 has 240 divisors, whose sum is σ = 519182823744. Its totient is φ = 29291673600.

The previous prime is 131711010451. The next prime is 131711010503. The reversal of 131711010480 is 84010117131.

131711010480 is a `hidden beast` number, since 1 + 3 + 171 + 1 + 0 + 10 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166671 + ... + 539630.

Almost surely, 2131711010480 is an apocalyptic number.

131711010480 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 131711010480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259591411872).

131711010480 is an abundant number, since it is smaller than the sum of its proper divisors (387471813264).

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

131711010480 is a wasteful number, since it uses less digits than its factorization.

131711010480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706364 (or 706355 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The spelling of 131711010480 in words is "one hundred thirty-one billion, seven hundred eleven million, ten thousand, four hundred eighty".