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10100113314 = 231683352219
BaseRepresentation
bin10010110100000001…
…10111111110100010
3222001220010220202220
421122000313332202
5131141112111224
64350120251510
7505201355334
oct113200677642
928056126686
1010100113314
114313283695
121b5a610b96
13c4c670715
146bb583454
153e1a86279
hex25a037fa2

10100113314 has 8 divisors (see below), whose sum is σ = 20200226640. Its totient is φ = 3366704436.

The previous prime is 10100113297. The next prime is 10100113319. The reversal of 10100113314 is 41331100101.

10100113314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

10100113314 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 10100113293 and 10100113302.

It is not an unprimeable number, because it can be changed into a prime (10100113319) 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 3 ways as a sum of consecutive naturals, for example, 841676104 + ... + 841676115.

It is an arithmetic number, because the mean of its divisors is an integer number (2525028330).

Almost surely, 210100113314 is an apocalyptic number.

10100113314 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

10100113314 is a wasteful number, since it uses less digits than its factorization.

10100113314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683352224.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10100113314 its reverse (41331100101), we get a palindrome (51431213415).

The spelling of 10100113314 in words is "ten billion, one hundred million, one hundred thirteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 1683352219 3366704438 5050056657 10100113314