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23022122122032 = 2431143602504019
BaseRepresentation
bin1010011110000010000010…
…11010010011101100110000
310000111220010021102000111220
411033001001122103230300
511004143301230401112
6120544114503305040
74564202435144415
oct517010132235460
9100456107360456
1023022122122032
1173766998304a0
1226b9a1214b180
13cacc91053677
145983c320410c
1529dcd17cc98c
hex14f041693b30

23022122122032 has 40 divisors (see below), whose sum is σ = 64880525981760. Its totient is φ = 6976400642880.

The previous prime is 23022122122031. The next prime is 23022122122033.

23022122122032 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (23022122122031) and next prime (23022122122033).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23022122121993 and 23022122122011.

It is not an unprimeable number, because it can be changed into a prime (23022122122031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21801251482 + ... + 21801252537.

It is an arithmetic number, because the mean of its divisors is an integer number (1622013149544).

Almost surely, 223022122122032 is an apocalyptic number.

23022122122032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23022122122032 is an abundant number, since it is smaller than the sum of its proper divisors (41858403859728).

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

23022122122032 is a wasteful number, since it uses less digits than its factorization.

23022122122032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43602504041 (or 43602504035 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 2302212 and 2122032, that added together give a palindrome (4424244).

The spelling of 23022122122032 in words is "twenty-three trillion, twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 43602504019 87205008038 130807512057 174410016076 261615024114 348820032152 479627544209 523230048228 697640064304 959255088418 1046460096456 1438882632627 1918510176836 2092920192912 2877765265254 3837020353672 5755530530508 7674040707344 11511061061016 23022122122032