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131980708860 = 22357114132127
BaseRepresentation
bin111101011101010101…
…0011100101111111100
3110121122221222200101020
41322322222130233330
54130244030140420
6140344152344140
712351414341520
oct1727252345774
9417587880336
10131980708860
1150a77740000
12216b40a5050
13c5a4356300
146560581d80
153676bb5340
hex1ebaa9cbfc

131980708860 has 720 divisors, whose sum is σ = 507015290880. Its totient is φ = 25115650560.

The previous prime is 131980708859. The next prime is 131980708861. The reversal of 131980708860 is 68807089131.

It is an interprime number because it is at equal distance from previous prime (131980708859) and next prime (131980708861).

It is a super-2 number, since 2×1319807088602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131980708861) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1039218117 + ... + 1039218243.

It is an arithmetic number, because the mean of its divisors is an integer number (704187904).

Almost surely, 2131980708860 is an apocalyptic number.

131980708860 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 131980708860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253507645440).

131980708860 is an abundant number, since it is smaller than the sum of its proper divisors (375034582020).

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

131980708860 is a wasteful number, since it uses less digits than its factorization.

131980708860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The spelling of 131980708860 in words is "one hundred thirty-one billion, nine hundred eighty million, seven hundred eight thousand, eight hundred sixty".