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122102325 = 32522918713
BaseRepresentation
bin1110100011100…
…10001000110101
322111202102220100
413101302020311
5222224233300
620041024313
73011565312
oct721621065
9274672810
10122102325
1162a18314
1234a85099
131c3b1ac7
1412305d09
15aabd700
hex7472235

122102325 has 36 divisors (see below), whose sum is σ = 226252260. Its totient is φ = 62872320.

The previous prime is 122102317. The next prime is 122102363. The reversal of 122102325 is 523201221.

It can be written as a sum of positive squares in 6 ways, for example, as 88209 + 122014116 = 297^2 + 11046^2 .

It is not a de Polignac number, because 122102325 - 23 = 122102317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122102298 and 122102307.

It is a congruent number.

It is an unprimeable number.

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, 2832 + ... + 15881.

It is an arithmetic number, because the mean of its divisors is an integer number (6284785).

Almost surely, 2122102325 is an apocalyptic number.

122102325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122102325 is a deficient number, since it is larger than the sum of its proper divisors (104149935).

122102325 is a wasteful number, since it uses less digits than its factorization.

122102325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18758 (or 18750 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 122102325 is about 11049.9920814451. The cubic root of 122102325 is about 496.1061885136.

Adding to 122102325 its reverse (523201221), we get a palindrome (645303546).

It can be divided in two parts, 12210 and 2325, that added together give a triangular number (14535 = T170).

The spelling of 122102325 in words is "one hundred twenty-two million, one hundred two thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 145 225 261 435 725 1305 2175 6525 18713 56139 93565 168417 280695 467825 542677 842085 1403475 1628031 2713385 4210425 4884093 8140155 13566925 24420465 40700775 122102325