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100032132 = 2238336011
BaseRepresentation
bin1011111011001…
…01111010000100
320222020011021210
411331211322010
5201102012012
613532011420
72323154604
oct575457204
9228204253
10100032132
1151513692
1229600b70
1317955315
14d3dcc04
158bae23c
hex5f65e84

100032132 has 12 divisors (see below), whose sum is σ = 233408336. Its totient is φ = 33344040.

The previous prime is 100032103. The next prime is 100032137. The reversal of 100032132 is 231230001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 8336011 = 100032132 / (1 + 0 + 0 + 0 + 3 + 2 + 1 + 3 + 2).

It is not an unprimeable number, because it can be changed into a prime (100032137) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4167994 + ... + 4168017.

Almost surely, 2100032132 is an apocalyptic number.

100032132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100032132 is an abundant number, since it is smaller than the sum of its proper divisors (133376204).

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

100032132 is a wasteful number, since it uses less digits than its factorization.

100032132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8336018 (or 8336016 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 100032132 is about 10001.6064709626. The cubic root of 100032132 is about 464.2085925483.

Adding to 100032132 its reverse (231230001), we get a palindrome (331262133).

The spelling of 100032132 in words is "one hundred million, thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 8336011 16672022 25008033 33344044 50016066 100032132