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102342132 = 223219149623
BaseRepresentation
bin1100001100110…
…01110111110100
321010120112000100
412012121313310
5202144422012
614053314100
72351615364
oct606316764
9233515010
10102342132
1152851182
122a335930
1318283899
14d8409a4
158eb88dc
hex6199df4

102342132 has 36 divisors (see below), whose sum is σ = 272315680. Its totient is φ = 32318352.

The previous prime is 102342127. The next prime is 102342133. The reversal of 102342132 is 231243201.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (102342133) 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, 74128 + ... + 75495.

Almost surely, 2102342132 is an apocalyptic number.

102342132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102342132 is an abundant number, since it is smaller than the sum of its proper divisors (169973548).

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

102342132 is a wasteful number, since it uses less digits than its factorization.

102342132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149652 (or 149647 counting only the distinct ones).

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

The square root of 102342132 is about 10116.4288165340. The cubic root of 102342132 is about 467.7546928315.

Adding to 102342132 its reverse (231243201), we get a palindrome (333585333).

The spelling of 102342132 in words is "one hundred two million, three hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 149623 299246 448869 598492 897738 1346607 1795476 2693214 2842837 5386428 5685674 8528511 11371348 17057022 25585533 34114044 51171066 102342132