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102102132 = 22311773501
BaseRepresentation
bin1100001010111…
…11010001110100
321010010022210110
412011133101310
5202114232012
614044223020
72346565566
oct605372164
9233108713
10102102132
11526a7930
122a23aa70
13181cb582
14d7bb336
158e6c73c
hex615f474

102102132 has 24 divisors (see below), whose sum is σ = 259896672. Its totient is φ = 30940000.

The previous prime is 102102109. The next prime is 102102139. The reversal of 102102132 is 231201201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 386619 + ... + 386882.

It is an arithmetic number, because the mean of its divisors is an integer number (10829028).

Almost surely, 2102102132 is an apocalyptic number.

102102132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102102132 is an abundant number, since it is smaller than the sum of its proper divisors (157794540).

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

102102132 is a wasteful number, since it uses less digits than its factorization.

102102132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773519 (or 773517 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 102102132 is about 10104.5599607306. The cubic root of 102102132 is about 467.3887666576.

Adding to 102102132 its reverse (231201201), we get a palindrome (333303333).

The spelling of 102102132 in words is "one hundred two million, one hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 773501 1547002 2320503 3094004 4641006 8508511 9282012 17017022 25525533 34034044 51051066 102102132