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2131925319 = 33313347727
BaseRepresentation
bin111111100010010…
…1001100101000111
312111120121000202000
41333010221211013
513331233102234
6551314320343
7103555031466
oct17704514507
95446530660
102131925319
119a4464057
124b5b890b3
1327c8b8294
141631da9dd
15c7271899
hex7f129947

2131925319 has 32 divisors (see below), whose sum is σ = 3182000640. Its totient is φ = 1410716736.

The previous prime is 2131925317. The next prime is 2131925321. The reversal of 2131925319 is 9135291312.

2131925319 is a `hidden beast` number, since 2 + 1 + 31 + 92 + 531 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (2131925317) and next prime (2131925321).

It is not a de Polignac number, because 2131925319 - 21 = 2131925317 is a prime.

It is a super-2 number, since 2×21319253192 = 9090211131586503522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131925317) 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 31 ways as a sum of consecutive naturals, for example, 2932134 + ... + 2932860.

It is an arithmetic number, because the mean of its divisors is an integer number (99437520).

Almost surely, 22131925319 is an apocalyptic number.

2131925319 is a deficient number, since it is larger than the sum of its proper divisors (1050075321).

2131925319 is a wasteful number, since it uses less digits than its factorization.

2131925319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1390 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 2131925319 is about 46172.7768170813. The cubic root of 2131925319 is about 1287.0359040413.

The spelling of 2131925319 in words is "two billion, one hundred thirty-one million, nine hundred twenty-five thousand, three hundred nineteen".

Divisors: 1 3 9 27 313 347 727 939 1041 2181 2817 3123 6543 8451 9369 19629 108611 227551 252269 325833 682653 756807 977499 2047959 2270421 2932497 6143877 6811263 78960197 236880591 710641773 2131925319