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102401315325 = 32522113215389
BaseRepresentation
bin101111101011110011…
…0000001000111111101
3100210022112010210121100
41133113212001013331
53134204214042300
6115013103323313
710253412550551
oct1372746010775
9323275123540
10102401315325
113a478966921
1217a19bb0539
13986c168c9a
144d55d43861
1529e4e70700
hex17d79811fd

102401315325 has 36 divisors (see below), whose sum is σ = 183499787380. Its totient is φ = 54587934720.

The previous prime is 102401315297. The next prime is 102401315371. The reversal of 102401315325 is 523513104201.

102401315325 is a `hidden beast` number, since 1 + 0 + 24 + 0 + 1 + 315 + 325 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8307593316 + 94093722009 = 91146^2 + 306747^2 .

It is not a de Polignac number, because 102401315325 - 27 = 102401315197 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 367731 + ... + 583119.

Almost surely, 2102401315325 is an apocalyptic number.

102401315325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102401315325 is a deficient number, since it is larger than the sum of its proper divisors (81098472055).

102401315325 is a wasteful number, since it uses less digits than its factorization.

102401315325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217518 (or 217510 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 102401315325 its reverse (523513104201), we get a palindrome (625914419526).

The spelling of 102401315325 in words is "one hundred two billion, four hundred one million, three hundred fifteen thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 2113 6339 10565 19017 31695 52825 95085 158475 215389 475425 646167 1076945 1938501 3230835 5384725 9692505 16154175 48462525 455116957 1365350871 2275584785 4096052613 6826754355 11377923925 20480263065 34133771775 102401315325