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102261132 = 22326146567
BaseRepresentation
bin1100001100001…
…10000110001100
321010102101220100
412012012012030
5202134324012
614051451100
72351130261
oct606060614
9233371810
10102261132
11527a6336
122a2b6a90
1318255a5c
14d81d268
158e9e8dc
hex618618c

102261132 has 36 divisors (see below), whose sum is σ = 262736656. Its totient is φ = 33527520.

The previous prime is 102261127. The next prime is 102261139. The reversal of 102261132 is 231162201.

102261132 is a `hidden beast` number, since 1 + 0 + 22 + 611 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (102261139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21088 + ... + 25479.

Almost surely, 2102261132 is an apocalyptic number.

102261132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102261132 is an abundant number, since it is smaller than the sum of its proper divisors (160475524).

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

102261132 is a wasteful number, since it uses less digits than its factorization.

102261132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46638 (or 46633 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 102261132 is about 10112.4246350715. The cubic root of 102261132 is about 467.6312567665.

The spelling of 102261132 in words is "one hundred two million, two hundred sixty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 46567 93134 139701 186268 279402 419103 558804 838206 1676412 2840587 5681174 8521761 11362348 17043522 25565283 34087044 51130566 102261132