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2130589175 = 5211213173187
BaseRepresentation
bin111111011111110…
…0011010111110111
312111111002010220012
41332333203113313
513330412323200
6551225530435
7103540465151
oct17677432767
95444063805
102130589175
119a3731200
124b5643a1b
1327c53b070
14162d6dad1
15c70aaa35
hex7efe35f7

2130589175 has 72 divisors (see below), whose sum is σ = 3312319248. Its totient is φ = 1345766400.

The previous prime is 2130589171. The next prime is 2130589193. The reversal of 2130589175 is 5719850312.

It is not a de Polignac number, because 2130589175 - 22 = 2130589171 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130589171) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 666932 + ... + 670118.

It is an arithmetic number, because the mean of its divisors is an integer number (46004434).

Almost surely, 22130589175 is an apocalyptic number.

2130589175 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2130589175 is a deficient number, since it is larger than the sum of its proper divisors (1181730073).

2130589175 is a wasteful number, since it uses less digits than its factorization.

2130589175 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3249 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 41.

The square root of 2130589175 is about 46158.3055906518. The cubic root of 2130589175 is about 1286.7669726882.

The spelling of 2130589175 in words is "two billion, one hundred thirty million, five hundred eighty-nine thousand, one hundred seventy-five".

Divisors: 1 5 11 13 17 25 55 65 85 121 143 187 221 275 325 425 605 715 935 1105 1573 2057 2431 3025 3187 3575 4675 5525 7865 10285 12155 15935 26741 35057 39325 41431 51425 54179 60775 79675 133705 175285 207155 270895 385627 455741 595969 668525 704327 876425 1035775 1354475 1928135 2278705 2979845 3521635 5013151 6555659 7747597 9640675 11393525 14899225 17608175 25065755 32778295 38737985 85223567 125328775 163891475 193689925 426117835 2130589175