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252125141313 = 32113301120661
BaseRepresentation
bin1110101011001111010…
…1000101100101000001
3220002210000221012221210
43222303311011211001
513112323014010223
6311454044440333
724133616225013
oct3526365054501
9802700835853
10252125141313
1197a20084391
1240a442490a9
131aa10440366
14c2bab641b3
15685969a893
hex3ab3d45941

252125141313 has 16 divisors (see below), whose sum is σ = 337865183552. Its totient is φ = 167234760000.

The previous prime is 252125141311. The next prime is 252125141321. The reversal of 252125141313 is 313141521252.

It is a happy number.

252125141313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 252125141313 - 21 = 252125141311 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252125141311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2029203 + ... + 2149863.

It is an arithmetic number, because the mean of its divisors is an integer number (21116573972).

Almost surely, 2252125141313 is an apocalyptic number.

It is an amenable number.

252125141313 is a deficient number, since it is larger than the sum of its proper divisors (85740042239).

252125141313 is a wasteful number, since it uses less digits than its factorization.

252125141313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124176.

The product of its digits is 7200, while the sum is 30.

Adding to 252125141313 its reverse (313141521252), we get a palindrome (565266662565).

The spelling of 252125141313 in words is "two hundred fifty-two billion, one hundred twenty-five million, one hundred forty-one thousand, three hundred thirteen".

Divisors: 1 3 211 633 3301 9903 120661 361983 696511 2089533 25459471 76378413 398301961 1194905883 84041713771 252125141313