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102325320 = 23325284237
BaseRepresentation
bin1100001100101…
…01110001001000
321010112122221200
412012111301020
5202143402240
614053104200
72351515356
oct606256110
9233478850
10102325320
115283a589
122a328060
1318279036
14d8387d6
158eb3930
hex6195c48

102325320 has 48 divisors (see below), whose sum is σ = 332558460. Its totient is φ = 27286656.

The previous prime is 102325309. The next prime is 102325331. The reversal of 102325320 is 23523201.

102325320 is a `hidden beast` number, since 102 + 32 + 532 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102325309) and next prime (102325331).

It can be written as a sum of positive squares in 2 ways, for example, as 98843364 + 3481956 = 9942^2 + 1866^2 .

It is a super-2 number, since 2×1023253202 = 20940942226204800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 102325293 and 102325302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141759 + ... + 142478.

Almost surely, 2102325320 is an apocalyptic number.

102325320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102325320 is an abundant number, since it is smaller than the sum of its proper divisors (230233140).

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

102325320 is a wasteful number, since it uses less digits than its factorization.

102325320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284254 (or 284247 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 102325320 is about 10115.5978567754. The cubic root of 102325320 is about 467.7290783481.

Adding to 102325320 its reverse (23523201), we get a palindrome (125848521).

The spelling of 102325320 in words is "one hundred two million, three hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 284237 568474 852711 1136948 1421185 1705422 2273896 2558133 2842370 3410844 4263555 5116266 5684740 6821688 8527110 10232532 11369480 12790665 17054220 20465064 25581330 34108440 51162660 102325320