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10111113321 = 319374794269
BaseRepresentation
bin10010110101010101…
…10101100001101001
3222002122211202221120
421122222311201221
5131201421111241
64351152125453
7505364021331
oct113252654151
928078752846
1010111113321
114319507101
121b62236889
13c51a224ba
146bcc080c1
153e2a0a666
hex25aab5869

10111113321 has 16 divisors (see below), whose sum is σ = 14574580800. Its totient is φ = 6213371328.

The previous prime is 10111113289. The next prime is 10111113391. The reversal of 10111113321 is 12331111101.

10111113321 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 10111113321 - 25 = 10111113289 is a prime.

It is a super-2 number, since 2×101111133212 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10111113321.

It is not an unprimeable number, because it can be changed into a prime (10111113391) 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 15 ways as a sum of consecutive naturals, for example, 2395026 + ... + 2399243.

It is an arithmetic number, because the mean of its divisors is an integer number (910911300).

Almost surely, 210111113321 is an apocalyptic number.

It is an amenable number.

10111113321 is a deficient number, since it is larger than the sum of its proper divisors (4463467479).

10111113321 is a wasteful number, since it uses less digits than its factorization.

10111113321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4794328.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 10111113321 its reverse (12331111101), we get a palindrome (22442224422).

The spelling of 10111113321 in words is "ten billion, one hundred eleven million, one hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 3 19 37 57 111 703 2109 4794269 14382807 91091111 177387953 273273333 532163859 3370371107 10111113321