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23111044011132 = 22371119232910119541
BaseRepresentation
bin1010100000100111101011…
…00100011001010001111100
310000211101122101122000111220
411100103311210121101330
511012122404231324012
6121053022252113340
74603501133552460
oct520236544312174
9100741571560456
1023111044011132
11740037a927940
1227130a9a65850
13cb84926ba1ac
1459c81ac604a0
152a128819908c
hex1504f591947c

23111044011132 has 768 divisors, whose sum is σ = 77154442444800. Its totient is φ = 5199828480000.

The previous prime is 23111044011089. The next prime is 23111044011217.

23111044011132 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1182685282 + ... + 1182704822.

It is an arithmetic number, because the mean of its divisors is an integer number (100461513600).

Almost surely, 223111044011132 is an apocalyptic number.

23111044011132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23111044011132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38577221222400).

23111044011132 is an abundant number, since it is smaller than the sum of its proper divisors (54043398433668).

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

23111044011132 is a wasteful number, since it uses less digits than its factorization.

23111044011132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19738 (or 19736 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 2311104 and 4011132, that added together give a palindrome (6322236).

The spelling of 23111044011132 in words is "twenty-three trillion, one hundred eleven billion, forty-four million, eleven thousand, one hundred thirty-two".