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23242111124232 = 233711131219779319
BaseRepresentation
bin1010100100011011110011…
…10001110000001100001000
310001021220221200112020010010
411102031321301300030020
511021244320421433412
6121233140051151520
74616121115621650
oct522157161601410
9101256850466103
1023242111124232
117450a18899920
122734587ba55a0
13cc794c6996a0
145a4cd1d47360
152a48a9a4933c
hex152379c70308

23242111124232 has 256 divisors, whose sum is σ = 78022857830400. Its totient is φ = 5572007009280.

The previous prime is 23242111124179. The next prime is 23242111124233.

23242111124232 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×232421111242322 (a number of 28 digits) contains 22 as substring.

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 23242111124232.

It is not an unprimeable number, because it can be changed into a prime (23242111124233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 292981069 + ... + 293060387.

It is an arithmetic number, because the mean of its divisors is an integer number (304776788400).

Almost surely, 223242111124232 is an apocalyptic number.

23242111124232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23242111124232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39011428915200).

23242111124232 is an abundant number, since it is smaller than the sum of its proper divisors (54780746706168).

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

23242111124232 is a wasteful number, since it uses less digits than its factorization.

23242111124232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91556 (or 91552 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 2324211 and 1124232, that added together give a palindrome (3448443).

The spelling of 23242111124232 in words is "twenty-three trillion, two hundred forty-two billion, one hundred eleven million, one hundred twenty-four thousand, two hundred thirty-two".