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10223313211013 = 716380953110681
BaseRepresentation
bin1001010011000100110011…
…1100111100111010000101
31100012100011021102202122112
42110301030330330322011
52314444321140223023
633424305242110405
72103416142332450
oct224611474747205
940170137382575
1010223313211013
113291756871761
12119141aaab405
135920923ab8c6
14274b4d550497
1512ade9e45478
hex94c4cf3ce85

10223313211013 has 16 divisors (see below), whose sum is σ = 11755717623936. Its totient is φ = 8708893873920.

The previous prime is 10223313210919. The next prime is 10223313211021. The reversal of 10223313211013 is 31011231332201.

10223313211013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10223313211013 - 212 = 10223313206917 is a prime.

It is a super-2 number, since 2×102233132110132 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10223313211013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223313211913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92312033 + ... + 92422713.

It is an arithmetic number, because the mean of its divisors is an integer number (734732351496).

Almost surely, 210223313211013 is an apocalyptic number.

It is an amenable number.

10223313211013 is a deficient number, since it is larger than the sum of its proper divisors (1532404412923).

10223313211013 is a wasteful number, since it uses less digits than its factorization.

10223313211013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191804.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 10223313211013 its reverse (31011231332201), we get a palindrome (41234544543214).

The spelling of 10223313211013 in words is "ten trillion, two hundred twenty-three billion, three hundred thirteen million, two hundred eleven thousand, thirteen".

Divisors: 1 7 163 1141 80953 110681 566671 774767 13195339 18041003 92367373 126287021 8959958993 62719712951 1460473315859 10223313211013