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23202113000 = 2353112337569
BaseRepresentation
bin10101100110111101…
…000010010111101000
32012212222212110111112
4111212331002113220
5340004220104000
614354153445452
71450653464213
oct254675022750
965788773445
1023202113000
119926a95a00
1245b6410888
132259c06161
1411a16a077a
1590be35235
hex566f425e8

23202113000 has 192 divisors, whose sum is σ = 59959645200. Its totient is φ = 8397312000.

The previous prime is 23202112987. The next prime is 23202113021. The reversal of 23202113000 is 31120232.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 352162756 + 22849950244 = 18766^2 + 151162^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40776716 + ... + 40777284.

Almost surely, 223202113000 is an apocalyptic number.

23202113000 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 23202113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29979822600).

23202113000 is an abundant number, since it is smaller than the sum of its proper divisors (36757532200).

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

23202113000 is a wasteful number, since it uses less digits than its factorization.

23202113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 23202113000 its reverse (31120232), we get a palindrome (23233233232).

The spelling of 23202113000 in words is "twenty-three billion, two hundred two million, one hundred thirteen thousand".