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103032132 = 22371518123
BaseRepresentation
bin1100010010000…
…10010101000100
321011212120111220
412021002111010
5202334012012
614120200340
72360521140
oct611022504
9234776456
10103032132
1153182625
122a6090b0
1318465978
14d980220
1590a308c
hex6242544

103032132 has 48 divisors (see below), whose sum is σ = 276605952. Its totient is φ = 29239200.

The previous prime is 103032103. The next prime is 103032143. The reversal of 103032132 is 231230301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8623 + ... + 16745.

It is an arithmetic number, because the mean of its divisors is an integer number (5762624).

Almost surely, 2103032132 is an apocalyptic number.

103032132 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 103032132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138302976).

103032132 is an abundant number, since it is smaller than the sum of its proper divisors (173573820).

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

103032132 is a wasteful number, since it uses less digits than its factorization.

103032132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8288 (or 8286 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 103032132 is about 10150.4744716688. The cubic root of 103032132 is about 468.8035541302.

Adding to 103032132 its reverse (231230301), we get a palindrome (334262433).

The spelling of 103032132 in words is "one hundred three million, thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 151 302 453 604 906 1057 1812 2114 3171 4228 6342 8123 12684 16246 24369 32492 48738 56861 97476 113722 170583 227444 341166 682332 1226573 2453146 3679719 4906292 7359438 8586011 14718876 17172022 25758033 34344044 51516066 103032132