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23312400421332 = 22311219845019589
BaseRepresentation
bin1010100110011110101110…
…10110001001000111010100
310001112122101021020111000010
411103033113112021013110
511023422244001440312
6121325322514520220
74624160005033251
oct523172726110724
9101478337214003
1023312400421332
117478808315100
122746123896070
131001471a35349
145a847d148428
152a662075293c
hex1533d75891d4

23312400421332 has 72 divisors (see below), whose sum is σ = 62937059063200. Its totient is φ = 6692555136960.

The previous prime is 23312400421283. The next prime is 23312400421333.

It is a happy number.

23312400421332 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×233124004213322 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23312400421332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23312400421333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422482207 + ... + 422537382.

Almost surely, 223312400421332 is an apocalyptic number.

23312400421332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23312400421332 is an abundant number, since it is smaller than the sum of its proper divisors (39624658641868).

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

23312400421332 is a wasteful number, since it uses less digits than its factorization.

23312400421332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845019637 (or 845019624 counting only the distinct ones).

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

It can be divided in two parts, 23312400 and 421332, that added together give a palindrome (23733732).

The spelling of 23312400421332 in words is "twenty-three trillion, three hundred twelve billion, four hundred million, four hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 121 132 209 228 242 363 418 484 627 726 836 1254 1452 2299 2508 4598 6897 9196 13794 27588 845019589 1690039178 2535058767 3380078356 5070117534 9295215479 10140235068 16055372191 18590430958 27885646437 32110744382 37180861916 48166116573 55771292874 64221488764 96332233146 102247370269 111542585748 176609094101 192664466292 204494740538 306742110807 353218188202 408989481076 529827282303 613484221614 706436376404 1059654564606 1226968443228 1942700035111 2119309129212 3885400070222 5828100105333 7770800140444 11656200210666 23312400421332