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10231113319 = 722931323003
BaseRepresentation
bin10011000011101001…
…00110011001100111
3222102000122101222221
421201310212121213
5131423131111234
64411120133211
7511352012500
oct114164463147
928360571887
1010231113319
114380218959
121b96467207
13c7084940b
146d0b23ba7
153ed310eb4
hex261d26667

10231113319 has 24 divisors (see below), whose sum is σ = 12351767760. Its totient is φ = 8439709824.

The previous prime is 10231113313. The next prime is 10231113337. The reversal of 10231113319 is 91331113201.

10231113319 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 10231113319 - 217 = 10230982247 is a prime.

It is a super-2 number, since 2×102311133192 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10231113293 and 10231113302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10231113313) 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 23 ways as a sum of consecutive naturals, for example, 433272 + ... + 456274.

It is an arithmetic number, because the mean of its divisors is an integer number (514656990).

Almost surely, 210231113319 is an apocalyptic number.

10231113319 is a deficient number, since it is larger than the sum of its proper divisors (2120654441).

10231113319 is a wasteful number, since it uses less digits than its factorization.

10231113319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23359 (or 23352 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The spelling of 10231113319 in words is "ten billion, two hundred thirty-one million, one hundred thirteen thousand, three hundred nineteen".

Divisors: 1 7 29 49 203 313 1421 2191 9077 15337 23003 63539 161021 444773 667087 1127147 4669609 7199939 32687263 50399573 208798231 352797011 1461587617 10231113319