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23342011024332 = 22371113385713417
BaseRepresentation
bin1010100111010101111000…
…10001101000001111001100
310001122110210212210222010010
411103222330101220033030
511024413414310234312
6121351101040513220
74626255536021010
oct523527421501714
9101573725728103
1023342011024332
11748a322775430
12274ba0831b810
1310041b052c000
145a9a8b98c540
152a72a50ae93c
hex153abc4683cc

23342011024332 has 384 divisors, whose sum is σ = 73651449231360. Its totient is φ = 5589539205120.

The previous prime is 23342011024327. The next prime is 23342011024379.

It is a happy number.

23342011024332 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 23342011024332.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1739727288 + ... + 1739740704.

It is an arithmetic number, because the mean of its divisors is an integer number (191800649040).

Almost surely, 223342011024332 is an apocalyptic number.

23342011024332 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 23342011024332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36825724615680).

23342011024332 is an abundant number, since it is smaller than the sum of its proper divisors (50309438207028).

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

23342011024332 is a wasteful number, since it uses less digits than its factorization.

23342011024332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14338 (or 14310 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, 2334201 and 1024332, that added together give a palindrome (3358533).

The spelling of 23342011024332 in words is "twenty-three trillion, three hundred forty-two billion, eleven million, twenty-four thousand, three hundred thirty-two".