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23312133121332 = 22311522733787463
BaseRepresentation
bin1010100110011110001110…
…11010011110010100110100
310001112121200122021020100010
411103033013122132110310
511023421222034340312
6121325240205420220
74624150251026046
oct523170732362464
9101477618236303
1023312133121332
117478690445710
12274606a26a670
13100142b546473
145a8455847a96
152a660705293c
hex1533c769e534

23312133121332 has 48 divisors (see below), whose sum is σ = 59351329562112. Its totient is φ = 7062931056480.

The previous prime is 23312133121283. The next prime is 23312133121337.

23312133121332 is nontrivially palindromic in base 10.

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 23312133121332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23312133121337) 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, 16203768 + ... + 17583695.

It is an arithmetic number, because the mean of its divisors is an integer number (1236486032544).

Almost surely, 223312133121332 is an apocalyptic number.

23312133121332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23312133121332 is an abundant number, since it is smaller than the sum of its proper divisors (36039196440780).

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

23312133121332 is a wasteful number, since it uses less digits than its factorization.

23312133121332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33792708 (or 33792706 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 2331213 and 3121332, that added together give a palindrome (5452545).

The spelling of 23312133121332 in words is "twenty-three trillion, three hundred twelve billion, one hundred thirty-three million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 5227 10454 15681 20908 31362 57497 62724 114994 172491 229988 344982 689964 33787463 67574926 101362389 135149852 202724778 371662093 405449556 743324186 1114986279 1486648372 2229972558 4459945116 176607069101 353214138202 529821207303 706428276404 1059642414606 1942677760111 2119284829212 3885355520222 5828033280333 7770711040444 11656066560666 23312133121332