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23423324100 = 2235211311012267
BaseRepresentation
bin10101110100001000…
…111000111111000100
32020110102010011002020
4111310020320333010
5340432332332400
614432135043140
71456310653431
oct256410707704
966412104066
1023423324100
119a2a9460a0
1246585104b0
1322939a8bb7
1411c2c04b88
1592157e2a0
hex574238fc4

23423324100 has 288 divisors, whose sum is σ = 77107064832. Its totient is φ = 5438400000.

The previous prime is 23423324063. The next prime is 23423324107. The reversal of 23423324100 is 142332432.

It is a super-2 number, since 2×234233241002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23423324107) 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 95 ways as a sum of consecutive naturals, for example, 10331167 + ... + 10333433.

It is an arithmetic number, because the mean of its divisors is an integer number (267732864).

Almost surely, 223423324100 is an apocalyptic number.

23423324100 is a gapful number since it is divisible by the number (20) 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 23423324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38553532416).

23423324100 is an abundant number, since it is smaller than the sum of its proper divisors (53683740732).

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

23423324100 is a wasteful number, since it uses less digits than its factorization.

23423324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 23423324100 its reverse (142332432), we get a palindrome (23565656532).

It can be divided in two parts, 2342332 and 4100, that added together give a palindrome (2346432).

The spelling of 23423324100 in words is "twenty-three billion, four hundred twenty-three million, three hundred twenty-four thousand, one hundred".