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102123432 = 233211811201
BaseRepresentation
bin1100001011001…
…00011110101000
321010011102000100
412011210132220
5202120422212
614044505400
72350014645
oct605443650
9233142010
10102123432
1152711934
122a24b260
1318208188
14d7c4dcc
158e73bdc
hex61647a8

102123432 has 48 divisors (see below), whose sum is σ = 277048980. Its totient is φ = 33984000.

The previous prime is 102123407. The next prime is 102123451. The reversal of 102123432 is 234321201.

It can be written as a sum of positive squares in 2 ways, for example, as 100520676 + 1602756 = 10026^2 + 1266^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84432 + ... + 85632.

Almost surely, 2102123432 is an apocalyptic number.

102123432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102123432 is an abundant number, since it is smaller than the sum of its proper divisors (174925548).

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

102123432 is a wasteful number, since it uses less digits than its factorization.

102123432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 102123432 is about 10105.6138853609. The cubic root of 102123432 is about 467.4212657783.

Adding to 102123432 its reverse (234321201), we get a palindrome (336444633).

The spelling of 102123432 in words is "one hundred two million, one hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1181 1201 2362 2402 3543 3603 4724 4804 7086 7206 9448 9608 10629 10809 14172 14412 21258 21618 28344 28824 42516 43236 85032 86472 1418381 2836762 4255143 5673524 8510286 11347048 12765429 17020572 25530858 34041144 51061716 102123432