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23023313112 = 23317379148891
BaseRepresentation
bin10101011100010010…
…111110000011011000
32012102112102111011110
4111130102332003120
5334122432004422
614324325300320
71443352634562
oct253422760330
965375374143
1023023313112
1198450729a8
1245665646a0
13222bb625c7
141185a3a332
158eb3b760c
hex55c4be0d8

23023313112 has 64 divisors (see below), whose sum is σ = 61105276800. Its totient is φ = 7203893760.

The previous prime is 23023313111. The next prime is 23023313147. The reversal of 23023313112 is 21131332032.

It is a super-2 number, since 2×230233131122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23023313111) 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, 80187 + ... + 229077.

It is an arithmetic number, because the mean of its divisors is an integer number (954769950).

Almost surely, 223023313112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23023313112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30552638400).

23023313112 is an abundant number, since it is smaller than the sum of its proper divisors (38081963688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23023313112 is a wasteful number, since it uses less digits than its factorization.

23023313112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149296 (or 149292 counting only the distinct ones).

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

Adding to 23023313112 its reverse (21131332032), we get a palindrome (44154645144).

The spelling of 23023313112 in words is "twenty-three billion, twenty-three million, three hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 379 408 758 1137 1516 2274 3032 4548 6443 9096 12886 19329 25772 38658 51544 77316 148891 154632 297782 446673 595564 893346 1191128 1786692 2531147 3573384 5062294 7593441 10124588 15186882 20249176 30373764 56429689 60747528 112859378 169289067 225718756 338578134 451437512 677156268 959304713 1354312536 1918609426 2877914139 3837218852 5755828278 7674437704 11511656556 23023313112