Search a number
-
+
13022332113 = 37797849507
BaseRepresentation
bin11000010000011000…
…10000010011010001
31020121112211000100210
430020030100103101
5203132204111423
65552105434333
7640463665560
oct141014202321
936545730323
1013022332113
11558284894a
12263519b9a9
1312c6bc077b
148b76ddbd7
155133b3b93
hex3083104d1

13022332113 has 16 divisors (see below), whose sum is σ = 20094740480. Its totient is φ = 7347137616.

The previous prime is 13022332111. The next prime is 13022332123. The reversal of 13022332113 is 31123322031.

It is not a de Polignac number, because 13022332113 - 21 = 13022332111 is a prime.

It is a super-2 number, since 2×130223321132 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 13022332113.

It is not an unprimeable number, because it can be changed into a prime (13022332111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3923095 + ... + 3926412.

It is an arithmetic number, because the mean of its divisors is an integer number (1255921280).

Almost surely, 213022332113 is an apocalyptic number.

It is an amenable number.

13022332113 is a deficient number, since it is larger than the sum of its proper divisors (7072408367).

13022332113 is an equidigital number, since it uses as much as digits as its factorization.

13022332113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7849596.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13022332113 its reverse (31123322031), we get a palindrome (44145654144).

The spelling of 13022332113 in words is "thirteen billion, twenty-two million, three hundred thirty-two thousand, one hundred thirteen".

Divisors: 1 3 7 21 79 237 553 1659 7849507 23548521 54946549 164839647 620111053 1860333159 4340777371 13022332113