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252681520122 = 23261230128889
BaseRepresentation
bin1110101101010011111…
…1100000001111111010
3220011012210212012012100
43223110333200033322
513114442432120442
6312025201524230
724153453324453
oct3532477401772
9804183765170
10252681520122
1198186148a89
1240b7a643676
131aa9b7a50a5
14c3309d412a
15688d44d84c
hex3ad4fe03fa

252681520122 has 24 divisors (see below), whose sum is σ = 556451656020. Its totient is φ = 82846399680.

The previous prime is 252681520121. The next prime is 252681520123. The reversal of 252681520122 is 221025186252.

252681520122 is a `hidden beast` number, since 2 + 5 + 2 + 6 + 8 + 1 + 520 + 122 = 666.

252681520122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252681520121) and next prime (252681520123).

It can be written as a sum of positive squares in 2 ways, for example, as 151009182801 + 101672337321 = 388599^2 + 318861^2 .

It is a super-2 number, since 2×2526815201222 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252681520121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115063347 + ... + 115065542.

Almost surely, 2252681520122 is an apocalyptic number.

252681520122 is an abundant number, since it is smaller than the sum of its proper divisors (303770135898).

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

252681520122 is a wasteful number, since it uses less digits than its factorization.

252681520122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230128958 (or 230128955 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 252681520122 in words is "two hundred fifty-two billion, six hundred eighty-one million, five hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 1098 230128889 460257778 690386667 1380773334 2071160001 4142320002 14037862229 28075724458 42113586687 84227173374 126340760061 252681520122