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22123414313 = 711133196883
BaseRepresentation
bin10100100110101010…
…001000001100101001
32010002211002220002022
4110212222020030221
5330302043224223
614055141314225
71412144630120
oct244652101451
963084086068
1022123414313
1194230aa690
124355105975
1321175a3000
1410dc308ab7
158973aaac8
hex526a88329

22123414313 has 64 divisors (see below), whose sum is σ = 31457126400. Its totient is φ = 15073231680.

The previous prime is 22123414297. The next prime is 22123414333. The reversal of 22123414313 is 31341432122.

It is not a de Polignac number, because 22123414313 - 24 = 22123414297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22123414333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3210770 + ... + 3217652.

It is an arithmetic number, because the mean of its divisors is an integer number (491517600).

Almost surely, 222123414313 is an apocalyptic number.

It is an amenable number.

22123414313 is a deficient number, since it is larger than the sum of its proper divisors (9333712087).

22123414313 is a wasteful number, since it uses less digits than its factorization.

22123414313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6959 (or 6933 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

Adding to 22123414313 its reverse (31341432122), we get a palindrome (53464846435).

The spelling of 22123414313 in words is "twenty-two billion, one hundred twenty-three million, four hundred fourteen thousand, three hundred thirteen".

Divisors: 1 7 11 13 19 77 91 133 143 169 209 247 1001 1183 1463 1729 1859 2197 2717 3211 6883 13013 15379 19019 22477 24167 35321 41743 48181 75713 89479 130777 169169 247247 292201 459173 529991 626353 915439 984269 1163227 1438547 1700101 3214211 6889883 8142589 10069829 11900707 12795497 15121951 18701111 22101313 89568479 105853657 130907777 154709191 166341461 243114443 287317069 1164390227 1701801101 2011219483 3160487759 22123414313