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23212311321232 = 2411263501475789
BaseRepresentation
bin1010100011100100010011…
…00100100001101010010000
310001012002000212221101101201
411101302021210201222100
511020302303144234412
6121211331050040544
74614014466520555
oct521621144415220
9101162025841351
1023212311321232
11743a316662860
12272a850119154
13cc4bb092a467
145a36a6332a2c
152a3c137b7e57
hex151c89921a90

23212311321232 has 40 divisors (see below), whose sum is σ = 49248934384320. Its totient is φ = 10510932516480.

The previous prime is 23212311321217. The next prime is 23212311321233.

23212311321232 is nontrivially palindromic in base 10.

23212311321232 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×232123113212322 (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 23212311321232.

It is not an unprimeable number, because it can be changed into a prime (23212311321233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250691607 + ... + 250784182.

It is an arithmetic number, because the mean of its divisors is an integer number (1231223359608).

Almost surely, 223212311321232 is an apocalyptic number.

23212311321232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23212311321232 is an abundant number, since it is smaller than the sum of its proper divisors (26036623063088).

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

23212311321232 is a wasteful number, since it uses less digits than its factorization.

23212311321232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501476071 (or 501476065 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

It can be divided in two parts, 2321231 and 1321232, that added together give a palindrome (3642463).

The spelling of 23212311321232 in words is "twenty-three trillion, two hundred twelve billion, three hundred eleven million, three hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 263 526 1052 2104 2893 4208 5786 11572 23144 46288 501475789 1002951578 2005903156 4011806312 5516233679 8023612624 11032467358 22064934716 44129869432 88259738864 131888132507 263776265014 527552530028 1055105060056 1450769457577 2110210120112 2901538915154 5803077830308 11606155660616 23212311321232