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102150132 = 22371319283
BaseRepresentation
bin1100001011010…
…10111111110100
321010012202122020
412011222333310
5202122301012
614045233140
72350155540
oct605527764
9233182566
10102150132
115272a9a7
122a2627b0
1318217386
14d7d0a20
158e7ba8c
hex616aff4

102150132 has 48 divisors (see below), whose sum is σ = 274509312. Its totient is φ = 28959840.

The previous prime is 102150119. The next prime is 102150197. The reversal of 102150132 is 231051201.

It is a congruent number.

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, 6363 + ... + 15645.

It is an arithmetic number, because the mean of its divisors is an integer number (5718944).

Almost surely, 2102150132 is an apocalyptic number.

102150132 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 102150132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137254656).

102150132 is an abundant number, since it is smaller than the sum of its proper divisors (172359180).

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

102150132 is a wasteful number, since it uses less digits than its factorization.

102150132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9428 (or 9426 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 102150132 is about 10106.9348469256. The cubic root of 102150132 is about 467.4619977307.

The spelling of 102150132 in words is "one hundred two million, one hundred fifty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 393 524 786 917 1572 1834 2751 3668 5502 9283 11004 18566 27849 37132 55698 64981 111396 129962 194943 259924 389886 779772 1216073 2432146 3648219 4864292 7296438 8512511 14592876 17025022 25537533 34050044 51075066 102150132