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23123100 = 223527211213
BaseRepresentation
bin101100000110…
…1010010011100
31121111202221010
41120031102130
521404414400
62143335220
7400354200
oct130152234
947452833
1023123100
1112063800
1278b1510
134a37b10
1430dcb00
15206b450
hex160d49c

23123100 has 324 divisors, whose sum is σ = 92124312. Its totient is φ = 4435200.

The previous prime is 23123071. The next prime is 23123143. The reversal of 23123100 is 132132.

It is a happy number.

It is a super-2 number, since 2×231231002 = 1069355507220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1778694 + ... + 1778706.

Almost surely, 223123100 is an apocalyptic number.

23123100 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 23123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46062156).

23123100 is an abundant number, since it is smaller than the sum of its proper divisors (69001212).

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

23123100 is a wasteful number, since it uses less digits than its factorization.

23123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 23123100 is about 4808.6484587668. The cubic root of 23123100 is about 284.8931578586.

Adding to 23123100 its reverse (132132), we get a palindrome (23255232).

It can be divided in two parts, 231 and 23100, that multiplied together give a square (5336100 = 23102).

The spelling of 23123100 in words is "twenty-three million, one hundred twenty-three thousand, one hundred".