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23201233210232 = 23711227165922201
BaseRepresentation
bin1010100011001111101010…
…10000111000101101111000
310001011000102211112001000022
411101213311100320231320
511020112111200211412
6121202255511430012
74613143121240060
oct521476520705570
9101130384461008
1023201233210232
117435651324020
12272867a085308
13cc3b367844ac
145a2d34d2c3a0
152a37b5e49a72
hex1519f5438b78

23201233210232 has 64 divisors (see below), whose sum is σ = 54475577360640. Its totient is φ = 8999620128000.

The previous prime is 23201233210231. The next prime is 23201233210249.

23201233210232 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23201233210231) 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 15 ways as a sum of consecutive naturals, for example, 82821269 + ... + 83100932.

It is an arithmetic number, because the mean of its divisors is an integer number (851180896260).

Almost surely, 223201233210232 is an apocalyptic number.

23201233210232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23201233210232 is an abundant number, since it is smaller than the sum of its proper divisors (31274344150408).

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

23201233210232 is a wasteful number, since it uses less digits than its factorization.

23201233210232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165922452 (or 165922448 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 2320123 and 3210232, that added together give a palindrome (5530355).

The spelling of 23201233210232 in words is "twenty-three trillion, two hundred one billion, two hundred thirty-three million, two hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 227 308 454 616 908 1589 1816 2497 3178 4994 6356 9988 12712 17479 19976 34958 69916 139832 165922201 331844402 663688804 1161455407 1327377608 1825144211 2322910814 3650288422 4645821628 7300576844 9291643256 12776009477 14601153688 25552018954 37664339627 51104037908 75328679254 102208075816 150657358508 263650377389 301314717016 414307735897 527300754778 828615471794 1054601509556 1657230943588 2109203019112 2900154151279 3314461887176 5800308302558 11600616605116 23201233210232