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102331332 = 22322842537
BaseRepresentation
bin1100001100101…
…11001111000100
321010112222012100
412012113033010
5202144100312
614053152100
72351542035
oct606271704
9233488170
10102331332
1152844054
122a32b630
131827b9ac
14d83aa8c
158eb55dc
hex61973c4

102331332 has 18 divisors (see below), whose sum is σ = 258670958. Its totient is φ = 34110432.

The previous prime is 102331319. The next prime is 102331379. The reversal of 102331332 is 233133201.

102331332 is a `hidden beast` number, since 1 + 0 + 2 + 331 + 332 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85488516 + 16842816 = 9246^2 + 4104^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1421233 + ... + 1421304.

Almost surely, 2102331332 is an apocalyptic number.

102331332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102331332 is an abundant number, since it is smaller than the sum of its proper divisors (156339626).

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

102331332 is a wasteful number, since it uses less digits than its factorization.

102331332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842547 (or 2842542 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 102331332 is about 10115.8950172488. The cubic root of 102331332 is about 467.7382384535.

Adding to 102331332 its reverse (233133201), we get a palindrome (335464533).

The spelling of 102331332 in words is "one hundred two million, three hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2842537 5685074 8527611 11370148 17055222 25582833 34110444 51165666 102331332