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23213113011 = 32111572416197
BaseRepresentation
bin10101100111100110…
…111111111010110011
32012220202120022200100
4111213212333322303
5340020024104021
614355225323443
71451146130214
oct254746777263
965822508610
1023213113011
119932219420
1245ba036583
13225c287c3a
1411a2d2540b
1590cda9626
hex5679bfeb3

23213113011 has 48 divisors (see below), whose sum is σ = 36969929568. Its totient is φ = 13918694400.

The previous prime is 23213113003. The next prime is 23213113019. The reversal of 23213113011 is 11031131232.

23213113011 is a `hidden beast` number, since 2 + 321 + 311 + 30 + 1 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (23213113003) and next prime (23213113019).

It is not a de Polignac number, because 23213113011 - 23 = 23213113003 is a prime.

It is a super-2 number, since 2×232131130112 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23213113019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3742765 + ... + 3748961.

It is an arithmetic number, because the mean of its divisors is an integer number (770206866).

Almost surely, 223213113011 is an apocalyptic number.

23213113011 is a deficient number, since it is larger than the sum of its proper divisors (13756816557).

23213113011 is a wasteful number, since it uses less digits than its factorization.

23213113011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6612 (or 6609 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 23213113011 its reverse (11031131232), we get a palindrome (34244244243).

The spelling of 23213113011 in words is "twenty-three billion, two hundred thirteen million, one hundred thirteen thousand, eleven".

Divisors: 1 3 9 11 33 99 157 241 471 723 1413 1727 2169 2651 5181 6197 7953 15543 18591 23859 37837 55773 68167 113511 204501 340533 416207 613503 972929 1248621 1493477 2918787 3745863 4480431 8756361 10702219 13441293 16428247 32106657 49284741 96319971 147854223 234475889 703427667 2110283001 2579234779 7737704337 23213113011