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132124314 = 2373145817
BaseRepresentation
bin1111110000000…
…00111010011010
3100012121121111010
413320000322122
5232310434224
621035514350
73163016040
oct770007232
9305547433
10132124314
1168642a53
12382b89b6
13214b068a
1413794390
15b8ece29
hex7e00e9a

132124314 has 16 divisors (see below), whose sum is σ = 301998528. Its totient is φ = 37749792.

The previous prime is 132124313. The next prime is 132124339. The reversal of 132124314 is 413421231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (132124313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1572867 + ... + 1572950.

It is an arithmetic number, because the mean of its divisors is an integer number (18874908).

Almost surely, 2132124314 is an apocalyptic number.

132124314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

132124314 is an abundant number, since it is smaller than the sum of its proper divisors (169874214).

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

132124314 is a wasteful number, since it uses less digits than its factorization.

132124314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145829.

The product of its digits is 576, while the sum is 21.

The square root of 132124314 is about 11494.5340923415. The cubic root of 132124314 is about 509.3241258436.

Adding to 132124314 its reverse (413421231), we get a palindrome (545545545).

The spelling of 132124314 in words is "one hundred thirty-two million, one hundred twenty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 3145817 6291634 9437451 18874902 22020719 44041438 66062157 132124314