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2131162445880 = 2334513192140159
BaseRepresentation
bin11111000000110011001…
…011100011100000111000
321112201220101010110120000
4133000303023203200320
5234404110041232010
64311013103233000
7306654122620326
oct37006313434070
97481811113500
102131162445880
11751903706796
122a5049ba8760
13125c77211bb0
14752124b0d16
153a682e0e7c0
hex1f0332e3838

2131162445880 has 480 divisors, whose sum is σ = 8141510361600. Its totient is φ = 496980085248.

The previous prime is 2131162445879. The next prime is 2131162445927. The reversal of 2131162445880 is 885442611312.

2131162445880 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 1 + 62 + 4 + 4 + 588 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15135241 + ... + 15275399.

It is an arithmetic number, because the mean of its divisors is an integer number (16961479920).

Almost surely, 22131162445880 is an apocalyptic number.

2131162445880 is a gapful number since it is divisible by the number (20) 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 2131162445880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4070755180800).

2131162445880 is an abundant number, since it is smaller than the sum of its proper divisors (6010347915720).

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

2131162445880 is a wasteful number, since it uses less digits than its factorization.

2131162445880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140233 (or 140201 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 2131162445880 in words is "two trillion, one hundred thirty-one billion, one hundred sixty-two million, four hundred forty-five thousand, eight hundred eighty".