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10233210000 = 2435413191381
BaseRepresentation
bin10011000011111001…
…00110010010010000
3222102011120221002210
421201330212102100
5131424200210000
64411233112120
7511405564326
oct114174462220
928364527083
1010233210000
114381420152
121b970b8640
13c71101860
146d110bd16
153ed5c7350
hex261f26490

10233210000 has 400 divisors, whose sum is σ = 37474754240. Its totient is φ = 2384640000.

The previous prime is 10233209999. The next prime is 10233210023. The reversal of 10233210000 is 1233201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7409310 + ... + 7410690.

Almost surely, 210233210000 is an apocalyptic number.

10233210000 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 10233210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18737377120).

10233210000 is an abundant number, since it is smaller than the sum of its proper divisors (27241544240).

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

10233210000 is a wasteful number, since it uses less digits than its factorization.

10233210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1423 counting only the distinct ones).

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

Adding to 10233210000 its reverse (1233201), we get a palindrome (10234443201).

The spelling of 10233210000 in words is "ten billion, two hundred thirty-three million, two hundred ten thousand".