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2131009975 = 52719712377
BaseRepresentation
bin111111100000100…
…1010000110110111
312111111212112010101
41333001022012313
513331014304400
6551242534531
7103544200033
oct17701120667
95444775111
102131009975
119a3999376
124b5807447
1327c657763
1416303d1c3
15c714056a
hex7f04a1b7

2131009975 has 24 divisors (see below), whose sum is σ = 2707514208. Its totient is φ = 1663334400.

The previous prime is 2131009957. The next prime is 2131009997. The reversal of 2131009975 is 5799001312.

It is not a de Polignac number, because 2131009975 - 211 = 2131007927 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 165987 + ... + 178363.

It is an arithmetic number, because the mean of its divisors is an integer number (112813092).

Almost surely, 22131009975 is an apocalyptic number.

2131009975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2131009975 is a deficient number, since it is larger than the sum of its proper divisors (576504233).

2131009975 is a wasteful number, since it uses less digits than its factorization.

2131009975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12555 (or 12550 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 37.

The square root of 2131009975 is about 46162.8635918527. The cubic root of 2131009975 is about 1286.8516810097.

The spelling of 2131009975 in words is "two billion, one hundred thirty-one million, nine thousand, nine hundred seventy-five".

Divisors: 1 5 25 71 97 355 485 1775 2425 6887 12377 34435 61885 172175 309425 878767 1200569 4393835 6002845 21969175 30014225 85240399 426201995 2131009975