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132099012 = 2234407713
BaseRepresentation
bin1111101111110…
…10101111000100
3100012120022210000
413313322233010
5232304132022
621035201300
73162552213
oct767725704
9305508700
10132099012
1168625a41
12382a6230
13214a1cc6
141378907a
15b8e56ac
hex7dfabc4

132099012 has 30 divisors (see below), whose sum is σ = 345333758. Its totient is φ = 44032896.

The previous prime is 132098987. The next prime is 132099013. The reversal of 132099012 is 210990231.

It can be written as a sum of positive squares in only one way, i.e., 78428736 + 53670276 = 8856^2 + 7326^2 .

It is a super-2 number, since 2×1320990122 = 34900297942752288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132099013) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 203533 + ... + 204180.

Almost surely, 2132099012 is an apocalyptic number.

132099012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132099012 is an abundant number, since it is smaller than the sum of its proper divisors (213234746).

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

132099012 is a wasteful number, since it uses less digits than its factorization.

132099012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407729 (or 407718 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 132099012 is about 11493.4334295719. The cubic root of 132099012 is about 509.2916116622.

The spelling of 132099012 in words is "one hundred thirty-two million, ninety-nine thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 407713 815426 1223139 1630852 2446278 3669417 4892556 7338834 11008251 14677668 22016502 33024753 44033004 66049506 132099012