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10104022313 = 73114216361
BaseRepresentation
bin10010110100011111…
…10010010100101001
3222002011111111220122
421122033302110221
5131143112203223
64350340133025
7505246526000
oct113217622451
928064444818
1010104022313
114315503570
121b5b997175
13c5040ba38
146bbcbdc37
153e20a95c8
hex25a3f2529

10104022313 has 32 divisors (see below), whose sum is σ = 12886867200. Its totient is φ = 7853328000.

The previous prime is 10104022307. The next prime is 10104022339. The reversal of 10104022313 is 31322040101.

10104022313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10104022313 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10104022291 and 10104022300.

It is not an unprimeable number, because it can be changed into a prime (10104022393) 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 31 ways as a sum of consecutive naturals, for example, 1585253 + ... + 1591613.

It is an arithmetic number, because the mean of its divisors is an integer number (402714600).

Almost surely, 210104022313 is an apocalyptic number.

It is an amenable number.

10104022313 is a deficient number, since it is larger than the sum of its proper divisors (2782844887).

10104022313 is an equidigital number, since it uses as much as digits as its factorization.

10104022313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6814 (or 6800 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10104022313 its reverse (31322040101), we get a palindrome (41426062414).

The spelling of 10104022313 in words is "ten billion, one hundred four million, twenty-two thousand, three hundred thirteen".

Divisors: 1 7 11 49 77 343 421 539 2947 3773 4631 6361 20629 32417 44527 69971 144403 226919 311689 489797 1588433 2181823 2677981 3428579 18745867 24000053 29457791 131221069 206204537 918547483 1443431759 10104022313