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102214032 = 24319111149
BaseRepresentation
bin1100001011110…
…10100110010000
321010100000021220
412011322212100
5202131322112
614050445040
72350543044
oct605724620
9233300256
10102214032
1152773a08
122a293780
131823a49b
14d80a024
158e9098c
hex617a990

102214032 has 40 divisors (see below), whose sum is σ = 265459200. Its totient is φ = 33889920.

The previous prime is 102214003. The next prime is 102214043. The reversal of 102214032 is 230412201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3594 + ... + 14742.

It is an arithmetic number, because the mean of its divisors is an integer number (6636480).

Almost surely, 2102214032 is an apocalyptic number.

102214032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102214032 is an abundant number, since it is smaller than the sum of its proper divisors (163245168).

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

102214032 is a wasteful number, since it uses less digits than its factorization.

102214032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11351 (or 11345 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 102214032 is about 10110.0955485099. The cubic root of 102214032 is about 467.5594510075.

Adding to 102214032 its reverse (230412201), we get a palindrome (332626233).

The spelling of 102214032 in words is "one hundred two million, two hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 191 382 573 764 1146 1528 2292 3056 4584 9168 11149 22298 33447 44596 66894 89192 133788 178384 267576 535152 2129459 4258918 6388377 8517836 12776754 17035672 25553508 34071344 51107016 102214032