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23312166121332 = 22321158869106367
BaseRepresentation
bin1010100110011110010010…
…11000010110111101110100
310001112121202221100210211100
411103033021120112331310
511023421304011340312
6121325243345010100
74624151131361004
oct523171130267564
9101477687323740
1023312166121332
1174786a8035040
122746079323930
13100143532baaa
145a8459d98004
152a6609dc05dc
hex1533c9616f74

23312166121332 has 36 divisors (see below), whose sum is σ = 64285064153856. Its totient is φ = 7064292763920.

The previous prime is 23312166121327. The next prime is 23312166121333.

23312166121332 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 2 + 1 + 6 + 612 + 1 + 3 + 32 = 666.

23312166121332 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23312166121333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29434552788 + ... + 29434553579.

It is an arithmetic number, because the mean of its divisors is an integer number (1785696226496).

Almost surely, 223312166121332 is an apocalyptic number.

23312166121332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23312166121332 is an abundant number, since it is smaller than the sum of its proper divisors (40972898032524).

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

23312166121332 is a wasteful number, since it uses less digits than its factorization.

23312166121332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58869106388 (or 58869106383 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

It can be divided in two parts, 2331216 and 6121332, that added together give a palindrome (8452548).

The spelling of 23312166121332 in words is "twenty-three trillion, three hundred twelve billion, one hundred sixty-six million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 58869106367 117738212734 176607319101 235476425468 353214638202 529821957303 647560170037 706429276404 1059643914606 1295120340074 1942680510111 2119287829212 2590240680148 3885361020222 5828041530333 7770722040444 11656083060666 23312166121332