Search a number
-
+
102323025 = 3252729281
BaseRepresentation
bin1100001100101…
…01001101010001
321010112112210200
412012111031101
5202143314100
614053045413
72351505600
oct606251521
9233475720
10102323025
1152838892
122a326869
1318277c8c
14d837a37
158eb2e00
hex6195351

102323025 has 54 divisors (see below), whose sum is σ = 213216822. Its totient is φ = 46771200.

The previous prime is 102322993. The next prime is 102323041. The reversal of 102323025 is 520323201.

102323025 = 14212 + 14222 + ... + 14692.

It can be written as a sum of positive squares in 3 ways, for example, as 21538881 + 80784144 = 4641^2 + 8988^2 .

It is not a de Polignac number, because 102323025 - 25 = 102322993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102322989 and 102323007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6385 + ... + 15665.

Almost surely, 2102323025 is an apocalyptic number.

102323025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102323025 is an abundant number, since it is smaller than the sum of its proper divisors (110893797).

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

102323025 is a wasteful number, since it uses less digits than its factorization.

102323025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9311 (or 9296 counting only the distinct ones).

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

The square root of 102323025 is about 10115.4844174661. The cubic root of 102323025 is about 467.7255815066.

Adding to 102323025 its reverse (520323201), we get a palindrome (622646226).

The spelling of 102323025 in words is "one hundred two million, three hundred twenty-three thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 3675 9281 11025 27843 46405 64967 83529 139215 194901 232025 324835 417645 454769 584703 696075 974505 1364307 1624175 2088225 2273845 2923515 4092921 4872525 6821535 11369225 14617575 20464605 34107675 102323025