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131065868340 = 223451111536379
BaseRepresentation
bin111101000010000100…
…0100111000000110100
3110112022012112222010000
41322010020213000310
54121410330241330
6140113312231300
712316635333141
oct1720410470064
9415265488100
10131065868340
11506482a1860
122149983b530
13c489964a64
1464b4c813c8
153621706560
hex1e84227034

131065868340 has 240 divisors, whose sum is σ = 448995919680. Its totient is φ = 31741009920.

The previous prime is 131065868327. The next prime is 131065868429. The reversal of 131065868340 is 43868560131.

131065868340 is a `hidden beast` number, since 1 + 31 + 0 + 6 + 586 + 8 + 34 + 0 = 666.

131065868340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20543271 + ... + 20549649.

It is an arithmetic number, because the mean of its divisors is an integer number (1870816332).

Almost surely, 2131065868340 is an apocalyptic number.

131065868340 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 131065868340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224497959840).

131065868340 is an abundant number, since it is smaller than the sum of its proper divisors (317930051340).

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

131065868340 is a wasteful number, since it uses less digits than its factorization.

131065868340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7564 (or 7553 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 131065868340 in words is "one hundred thirty-one billion, sixty-five million, eight hundred sixty-eight thousand, three hundred forty".