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2132125905 = 357133150387
BaseRepresentation
bin111111100010101…
…1010100011010001
312111120222012220010
41333011122203101
513331311012110
6551322505133
7103556525340
oct17705324321
95446865803
102132125905
119a4590828
124b60651a9
1327c958680
1416324db57
15c72b1020
hex7f15a8d1

2132125905 has 64 divisors (see below), whose sum is σ = 4334174208. Its totient is φ = 870670080.

The previous prime is 2132125867. The next prime is 2132125913. The reversal of 2132125905 is 5095212312.

It is not a de Polignac number, because 2132125905 - 26 = 2132125841 is a prime.

It is a Curzon 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 63 ways as a sum of consecutive naturals, for example, 17122 + ... + 67508.

It is an arithmetic number, because the mean of its divisors is an integer number (67721472).

Almost surely, 22132125905 is an apocalyptic number.

It is an amenable number.

2132125905 is an abundant number, since it is smaller than the sum of its proper divisors (2202048303).

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

2132125905 is a wasteful number, since it uses less digits than its factorization.

2132125905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50446.

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 2132125905 is about 46174.9488900638. The cubic root of 2132125905 is about 1287.0762671324.

The spelling of 2132125905 in words is "two billion, one hundred thirty-two million, one hundred twenty-five thousand, nine hundred five".

Divisors: 1 3 5 7 13 15 21 31 35 39 65 91 93 105 155 195 217 273 403 455 465 651 1085 1209 1365 2015 2821 3255 6045 8463 14105 42315 50387 151161 251935 352709 655031 755805 1058127 1561997 1763545 1965093 3275155 4585217 4685991 5290635 7809985 9825465 10933979 13755651 20305961 22926085 23429955 32801937 54669895 60917883 68778255 101529805 142141727 164009685 304589415 426425181 710708635 2132125905