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2131481880 = 23325113197179
BaseRepresentation
bin111111100001011…
…1101010100011000
312111112202111110100
41333002331110120
513331124410010
6551301015400
7103551203613
oct17702752430
95445674410
102131481880
119a4190980
124b59b4560
1327c7914a8
1416312317a
15c71d52c0
hex7f0bd518

2131481880 has 384 divisors, whose sum is σ = 7925299200. Its totient is φ = 492134400.

The previous prime is 2131481873. The next prime is 2131481887. The reversal of 2131481880 is 881841312.

It is an interprime number because it is at equal distance from previous prime (2131481873) and next prime (2131481887).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131481887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11907631 + ... + 11907809.

It is an arithmetic number, because the mean of its divisors is an integer number (20638800).

Almost surely, 22131481880 is an apocalyptic number.

2131481880 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 2131481880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962649600).

2131481880 is an abundant number, since it is smaller than the sum of its proper divisors (5793817320).

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

2131481880 is a wasteful number, since it uses less digits than its factorization.

2131481880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 2131481880 is about 46167.9746144446. The cubic root of 2131481880 is about 1286.9466636594.

The spelling of 2131481880 in words is "two billion, one hundred thirty-one million, four hundred eighty-one thousand, eight hundred eighty".