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102525225 = 35211151823
BaseRepresentation
bin1100001110001…
…10100100101001
321010220211011120
412013012210221
5202221301400
614101245453
72353310235
oct607064451
9233824146
10102525225
11529667a0
122a403889
131831901a
14d88b5c5
159002ca0
hex61c6929

102525225 has 48 divisors (see below), whose sum is σ = 186369024. Its totient is φ = 49320000.

The previous prime is 102525223. The next prime is 102525253. The reversal of 102525225 is 522525201.

It is not a de Polignac number, because 102525225 - 21 = 102525223 is a prime.

It is a super-2 number, since 2×1025252252 = 21022843522601250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102525195 and 102525204.

It is not an unprimeable number, because it can be changed into a prime (102525223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124164 + ... + 124986.

It is an arithmetic number, because the mean of its divisors is an integer number (3882688).

Almost surely, 2102525225 is an apocalyptic number.

102525225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102525225 is a deficient number, since it is larger than the sum of its proper divisors (83843799).

102525225 is a wasteful number, since it uses less digits than its factorization.

102525225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 102525225 is about 10125.4740629760. The cubic root of 102525225 is about 468.0334688242.

Subtracting from 102525225 its sum of digits (24), we obtain a palindrome (102525201).

The spelling of 102525225 in words is "one hundred two million, five hundred twenty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 151 165 275 453 755 823 825 1661 2265 2469 3775 4115 4983 8305 9053 11325 12345 20575 24915 27159 41525 45265 61725 124273 124575 135795 226325 372819 621365 678975 1367003 1864095 3106825 4101009 6835015 9320475 20505045 34175075 102525225