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23232122123232 = 2531122000115647
BaseRepresentation
bin1010100100001001001100…
…11000101111001111100000
310001020222011112110101210010
411102010212120233033200
511021113341230420412
6121224404540204520
74615315433540031
oct522044630571740
9101228145411703
1023232122123232
1174477623075a0
12273265a839740
13cc6a1a0606c9
145a4625448a88
152a44c2b1033c
hex15212662f3e0

23232122123232 has 48 divisors (see below), whose sum is σ = 66528349719552. Its totient is φ = 7040037006720.

The previous prime is 23232122123219. The next prime is 23232122123239.

It is a happy number.

23232122123232 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23232122123232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23232122123239) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11000056768 + ... + 11000058879.

It is an arithmetic number, because the mean of its divisors is an integer number (1386007285824).

Almost surely, 223232122123232 is an apocalyptic number.

23232122123232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23232122123232 is an abundant number, since it is smaller than the sum of its proper divisors (43296227596320).

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

23232122123232 is a wasteful number, since it uses less digits than its factorization.

23232122123232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22000115671 (or 22000115663 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 2323212 and 2123232, that added together give a palindrome (4446444).

The spelling of 23232122123232 in words is "twenty-three trillion, two hundred thirty-two billion, one hundred twenty-two million, one hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 22000115647 44000231294 66000346941 88000462588 132000693882 176000925176 242001272117 264001387764 352001850352 484002544234 528002775528 704003700704 726003816351 968005088468 1056005551056 1452007632702 1936010176936 2112011102112 2904015265404 3872020353872 5808030530808 7744040707744 11616061061616 23232122123232