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21132111013 = 132190165777
BaseRepresentation
bin10011101011100100…
…100110110010100101
32000112201210110121021
4103223210212302211
5321234310023023
613412530251141
71345446660046
oct235344466245
960481713537
1021132111013
118a64586862
124119126ab1
131cba0bc400
1410467c28cd
1583a34635d
hex4eb926ca5

21132111013 has 12 divisors (see below), whose sum is σ = 22895085348. Its totient is φ = 19496006400.

The previous prime is 21132110999. The next prime is 21132111023. The reversal of 21132111013 is 31011123112.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5910226884 + 15221884129 = 76878^2 + 123377^2 .

It is a de Polignac number, because none of the positive numbers 2k-21132111013 is a prime.

It is a super-2 number, since 2×211321110132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21132111023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288381 + ... + 354157.

It is an arithmetic number, because the mean of its divisors is an integer number (1907923779).

Almost surely, 221132111013 is an apocalyptic number.

It is an amenable number.

21132111013 is a deficient number, since it is larger than the sum of its proper divisors (1762974335).

21132111013 is a wasteful number, since it uses less digits than its factorization.

21132111013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67704 (or 67691 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 21132111013 its reverse (31011123112), we get a palindrome (52143234125).

The spelling of 21132111013 in words is "twenty-one billion, one hundred thirty-two million, one hundred eleven thousand, thirteen".

Divisors: 1 13 169 1901 24713 65777 321269 855101 11116313 125042077 1625547001 21132111013