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102325356 = 22387557
BaseRepresentation
bin1100001100101…
…01110001101100
321010112200000000
412012111301230
5202143402411
614053104300
72351515440
oct606256154
9233480000
10102325356
115283a611
122a328090
1318279063
14d838820
158eb3956
hex6195c6c

102325356 has 108 divisors (see below), whose sum is σ = 307511568. Its totient is φ = 29183328.

The previous prime is 102325343. The next prime is 102325357. The reversal of 102325356 is 653523201.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102325357) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 183430 + ... + 183986.

Almost surely, 2102325356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102325356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153755784).

102325356 is an abundant number, since it is smaller than the sum of its proper divisors (205186212).

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

102325356 is an frugal number, since it uses more digits than its factorization.

102325356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 102325356 is about 10115.5996362055. The cubic root of 102325356 is about 467.7291332001.

Adding to 102325356 its reverse (653523201), we get a palindrome (755848557).

The spelling of 102325356 in words is "one hundred two million, three hundred twenty-five thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 557 567 729 756 972 1114 1134 1458 1671 1701 2187 2228 2268 2916 3342 3402 3899 4374 5013 5103 6561 6684 6804 7798 8748 10026 10206 11697 13122 15039 15309 15596 20052 20412 23394 26244 30078 30618 35091 45117 45927 46788 60156 61236 70182 90234 91854 105273 135351 140364 180468 183708 210546 270702 315819 406053 421092 541404 631638 812106 947457 1218159 1263276 1624212 1894914 2436318 2842371 3654477 3789828 4872636 5684742 7308954 8527113 11369484 14617908 17054226 25581339 34108452 51162678 102325356