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10200234000 = 2435311374177
BaseRepresentation
bin10010111111111101…
…10011100000010000
3222022212112120112110
421133332303200100
5131342224442000
64404054225320
7510525362355
oct113776634020
928285476473
1010200234000
114364847860
121b88055240
13c67327128
146ca9a662c
153ea761850
hex25ffb3810

10200234000 has 320 divisors, whose sum is σ = 36853569792. Its totient is φ = 2405376000.

The previous prime is 10200233987. The next prime is 10200234001. The reversal of 10200234000 is 43200201.

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

It is not an unprimeable number, because it can be changed into a prime (10200234001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2439912 + ... + 2444088.

Almost surely, 210200234000 is an apocalyptic number.

10200234000 is a gapful number since it is divisible by the number (10) 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 10200234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18426784896).

10200234000 is an abundant number, since it is smaller than the sum of its proper divisors (26653335792).

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

10200234000 is a wasteful number, since it uses less digits than its factorization.

10200234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4251 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 10200234000 its reverse (43200201), we get a palindrome (10243434201).

The spelling of 10200234000 in words is "ten billion, two hundred million, two hundred thirty-four thousand".