Base | Representation |
---|---|
bin | 1010011110000010000010… |
… | …11010010011101100110000 |
3 | 10000111220010021102000111220 |
4 | 11033001001122103230300 |
5 | 11004143301230401112 |
6 | 120544114503305040 |
7 | 4564202435144415 |
oct | 517010132235460 |
9 | 100456107360456 |
10 | 23022122122032 |
11 | 73766998304a0 |
12 | 26b9a1214b180 |
13 | cacc91053677 |
14 | 5983c320410c |
15 | 29dcd17cc98c |
hex | 14f041693b30 |
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".
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