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23120203200 = 2635219793209
BaseRepresentation
bin10101100010000100…
…100100110111000000
32012200021202000101020
4111202010210313000
5334322233000300
614342110105440
71445640325143
oct254204446700
965607660336
1023120203200
11989482a956
124592aab280
132245c57713
14119485c05a
15904b558a0
hex562124dc0

23120203200 has 336 divisors, whose sum is σ = 80881728000. Its totient is φ = 5765160960.

The previous prime is 23120203187. The next prime is 23120203261. The reversal of 23120203200 is 230202132.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23120203200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7203196 + ... + 7206404.

Almost surely, 223120203200 is an apocalyptic number.

23120203200 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 23120203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40440864000).

23120203200 is an abundant number, since it is smaller than the sum of its proper divisors (57761524800).

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

23120203200 is a wasteful number, since it uses less digits than its factorization.

23120203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 23120203200 its reverse (230202132), we get a palindrome (23350405332).

The spelling of 23120203200 in words is "twenty-three billion, one hundred twenty million, two hundred three thousand, two hundred".