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103188132 = 223243191349
BaseRepresentation
bin1100010011010…
…00011010100100
321012011111111200
412021220122210
5202404010012
614123402500
72362041015
oct611503244
9235144450
10103188132
1153279853
122a683430
13184bb988
14d9c100c
1590d43dc
hex62686a4

103188132 has 72 divisors (see below), whose sum is σ = 269068800. Its totient is φ = 33324480.

The previous prime is 103188101. The next prime is 103188157. The reversal of 103188132 is 231881301.

It is a junction number, because it is equal to n+sod(n) for n = 103188096 and 103188105.

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 23 ways as a sum of consecutive naturals, for example, 295494 + ... + 295842.

Almost surely, 2103188132 is an apocalyptic number.

103188132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103188132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134534400).

103188132 is an abundant number, since it is smaller than the sum of its proper divisors (165880668).

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

103188132 is a wasteful number, since it uses less digits than its factorization.

103188132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 103188132 is about 10158.1559350110. The cubic root of 103188132 is about 469.0400385286.

The spelling of 103188132 in words is "one hundred three million, one hundred eighty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 191 258 349 382 387 516 573 698 764 774 1047 1146 1396 1548 1719 2094 2292 3141 3438 4188 6282 6876 8213 12564 15007 16426 24639 30014 32852 45021 49278 60028 66659 73917 90042 98556 133318 135063 147834 180084 199977 266636 270126 295668 399954 540252 599931 799908 1199862 2399724 2866337 5732674 8599011 11465348 17198022 25797033 34396044 51594066 103188132