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2132212095 = 3251329125683
BaseRepresentation
bin111111100010110…
…1111100101111111
312111121010121010100
41333011233211333
513331321241340
6551324412143
7103560334536
oct17705574577
95447117110
102132212095
119a463a562
124b60a7053
1327c988980
1416327331d
15c72cb830
hex7f16f97f

2132212095 has 48 divisors (see below), whose sum is σ = 4117407840. Its totient is φ = 1013499648.

The previous prime is 2132212067. The next prime is 2132212099. The reversal of 2132212095 is 5902122312.

It is a happy number.

It is not a de Polignac number, because 2132212095 - 214 = 2132195711 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132212099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45877 + ... + 79806.

It is an arithmetic number, because the mean of its divisors is an integer number (85779330).

Almost surely, 22132212095 is an apocalyptic number.

2132212095 is a deficient number, since it is larger than the sum of its proper divisors (1985195745).

2132212095 is a wasteful number, since it uses less digits than its factorization.

2132212095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125736 (or 125733 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2132212095 is about 46175.8821789037. The cubic root of 2132212095 is about 1287.0936100120.

The spelling of 2132212095 in words is "two billion, one hundred thirty-two million, two hundred twelve thousand, ninety-five".

Divisors: 1 3 5 9 13 15 29 39 45 65 87 117 145 195 261 377 435 585 1131 1305 1885 3393 5655 16965 125683 377049 628415 1131147 1633879 1885245 3644807 4901637 5655735 8169395 10934421 14704911 18224035 24508185 32803263 47382491 54672105 73524555 142147473 164016315 236912455 426442419 710737365 2132212095