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132122312 = 23711320879
BaseRepresentation
bin1111110000000…
…00011011001000
3100012121111201222
413320000123020
5232310403222
621035501212
73163010150
oct770003310
9305544658
10132122312
11686414a3
12382b7808
13214ac7aa
1413793760
15b8ec542
hex7e006c8

132122312 has 32 divisors (see below), whose sum is σ = 285638400. Its totient is φ = 56120064.

The previous prime is 132122303. The next prime is 132122321. The reversal of 132122312 is 213221231.

It is an interprime number because it is at equal distance from previous prime (132122303) and next prime (132122321).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4112 + ... + 16767.

It is an arithmetic number, because the mean of its divisors is an integer number (8926200).

Almost surely, 2132122312 is an apocalyptic number.

It is an amenable number.

132122312 is an abundant number, since it is smaller than the sum of its proper divisors (153516088).

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

132122312 is a wasteful number, since it uses less digits than its factorization.

132122312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21005 (or 21001 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 132122312 is about 11494.4470071422. The cubic root of 132122312 is about 509.3215533369.

Adding to 132122312 its reverse (213221231), we get a palindrome (345343543).

The spelling of 132122312 in words is "one hundred thirty-two million, one hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 113 226 452 791 904 1582 3164 6328 20879 41758 83516 146153 167032 292306 584612 1169224 2359327 4718654 9437308 16515289 18874616 33030578 66061156 132122312