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23022111122032 = 24113119992110853
BaseRepresentation
bin1010011110000010000001…
…10000010110001001110000
310000111220002111201011100111
411033001000300112021300
511004143240421401112
6120544113431431104
74564202242511431
oct517010060261160
9100456074634314
1023022111122032
1173766935a7a90
1226b9a0a525494
13cacc8b9a18a9
145983c197d488
1529dcd08585a7
hex14f040c16270

23022111122032 has 80 divisors (see below), whose sum is σ = 50255212032000. Its totient is φ = 10121957510400.

The previous prime is 23022111122027. The next prime is 23022111122039.

23022111122032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 23022111121994 and 23022111122012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23022111122039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9851118 + ... + 11961970.

It is an arithmetic number, because the mean of its divisors is an integer number (628190150400).

Almost surely, 223022111122032 is an apocalyptic number.

23022111122032 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 23022111122032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25127606016000).

23022111122032 is an abundant number, since it is smaller than the sum of its proper divisors (27233100909968).

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

23022111122032 is a wasteful number, since it uses less digits than its factorization.

23022111122032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112902 (or 2112896 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 2302211 and 1122032, that added together give a palindrome (3424243).

The spelling of 23022111122032 in words is "twenty-three trillion, twenty-two billion, one hundred eleven million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 1999 2728 3998 5456 7996 15992 21989 31984 43978 61969 87956 123938 175912 247876 351824 495752 681659 991504 1363318 2110853 2726636 4221706 5453272 8443412 10906544 16886824 23219383 33773648 46438766 65436443 92877532 130872886 185755064 261745772 371510128 523491544 719800873 1046983088 1439601746 2879203492 4219595147 5758406984 8439190294 11516813968 16878380588 33756761176 46415546617 67513522352 92831093234 130807449557 185662186468 261614899114 371324372936 523229798228 742648745872 1046459596456 1438881945127 2092919192912 2877763890254 5755527780508 11511055561016 23022111122032