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10233423360 = 29345172903
BaseRepresentation
bin10011000011111010…
…11010011000000000
3222102011222202210000
421201331122120000
5131424224021420
64411241440000
7511410443346
oct114175323000
928364882700
1010233423360
114381556486
121b971a0000
13c711779c4
146d1165996
153ed61a690
hex261f5a600

10233423360 has 400 divisors, whose sum is σ = 38822309856. Its totient is φ = 2567503872.

The previous prime is 10233423349. The next prime is 10233423371. The reversal of 10233423360 is 6332433201.

It is a happy number.

10233423360 is a `hidden beast` number, since 1 + 0 + 233 + 423 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10233423349) and next prime (10233423371).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3523669 + ... + 3526571.

Almost surely, 210233423360 is an apocalyptic number.

10233423360 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 10233423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19411154928).

10233423360 is an abundant number, since it is smaller than the sum of its proper divisors (28588886496).

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

10233423360 is an equidigital number, since it uses as much as digits as its factorization.

10233423360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 10233423360 its reverse (6332433201), we get a palindrome (16565856561).

The spelling of 10233423360 in words is "ten billion, two hundred thirty-three million, four hundred twenty-three thousand, three hundred sixty".