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102332120 = 23511221143
BaseRepresentation
bin1100001100101…
…11011011011000
321010120000021112
412012113123120
5202144111440
614053155452
72351544242
oct606273330
9233500245
10102332120
1152844700
122a32bb88
131827c167
14d83b092
158eb5965
hex61976d8

102332120 has 48 divisors (see below), whose sum is σ = 253093680. Its totient is φ = 37209920.

The previous prime is 102332101. The next prime is 102332161. The reversal of 102332120 is 21233201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102332095 and 102332104.

It is a congruent number.

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, 5732 + ... + 15411.

It is an arithmetic number, because the mean of its divisors is an integer number (5272785).

Almost surely, 2102332120 is an apocalyptic number.

102332120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102332120 is an abundant number, since it is smaller than the sum of its proper divisors (150761560).

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

102332120 is a wasteful number, since it uses less digits than its factorization.

102332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21176 (or 21161 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 102332120 is about 10115.9339657789. The cubic root of 102332120 is about 467.7394390528.

Adding to 102332120 its reverse (21233201), we get a palindrome (123565321).

The spelling of 102332120 in words is "one hundred two million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 21143 42286 84572 105715 169144 211430 232573 422860 465146 845720 930292 1162865 1860584 2325730 2558303 4651460 5116606 9302920 10233212 12791515 20466424 25583030 51166060 102332120