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10112350249 = 41577427457
BaseRepresentation
bin10010110101011111…
…00011100000101001
3222002202011121200201
421122233203200221
5131202230201444
64351234432201
7505410362461
oct113257434051
928082147621
1010112350249
11431a181461
121b62732661
13c52066501
146bd04aba1
153e2ba1dd4
hex25abe3829

10112350249 has 8 divisors (see below), whose sum is σ = 10376970408. Its totient is φ = 9848586240.

The previous prime is 10112350243. The next prime is 10112350273. The reversal of 10112350249 is 94205321101.

10112350249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 453391849 + 9658958400 = 21293^2 + 98280^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10112350249 - 27 = 10112350121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10112350243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190072 + ... + 237385.

It is an arithmetic number, because the mean of its divisors is an integer number (1297121301).

Almost surely, 210112350249 is an apocalyptic number.

It is an amenable number.

10112350249 is a deficient number, since it is larger than the sum of its proper divisors (264620159).

10112350249 is an equidigital number, since it uses as much as digits as its factorization.

10112350249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428075.

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 10112350249 in words is "ten billion, one hundred twelve million, three hundred fifty thousand, two hundred forty-nine".

Divisors: 1 41 577 23657 427457 17525737 246642689 10112350249