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100380132 = 22322788337
BaseRepresentation
bin1011111101110…
…10110111100100
320222212211122200
411332322313210
5201144131012
613543254500
72326134306
oct576726744
9228784580
10100380132
1151731096
122974a430
1317a47838
14d48d976
158c2c3dc
hex5fbade4

100380132 has 18 divisors (see below), whose sum is σ = 253738758. Its totient is φ = 33460032.

The previous prime is 100380131. The next prime is 100380143. The reversal of 100380132 is 231083001.

It can be written as a sum of positive squares in only one way, i.e., 62631396 + 37748736 = 7914^2 + 6144^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100380131) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1394133 + ... + 1394204.

Almost surely, 2100380132 is an apocalyptic number.

100380132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100380132 is an abundant number, since it is smaller than the sum of its proper divisors (153358626).

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

100380132 is a wasteful number, since it uses less digits than its factorization.

100380132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788347 (or 2788342 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100380132 is about 10018.9885717072. The cubic root of 100380132 is about 464.7462785120.

The spelling of 100380132 in words is "one hundred million, three hundred eighty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2788337 5576674 8365011 11153348 16730022 25095033 33460044 50190066 100380132