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10323213120 = 2632511378807
BaseRepresentation
bin10011001110100111…
…11011101101000000
3222122102221120011200
421213103323231000
5132120220304440
64424210141200
7513550602153
oct114723735500
928572846150
1010323213120
1144182038a0
122001281800
13c8695503c
146dd059c9a
15406454c30
hex2674fbb40

10323213120 has 336 divisors, whose sum is σ = 39786933888. Its totient is φ = 2434682880.

The previous prime is 10323213113. The next prime is 10323213179. The reversal of 10323213120 is 2131232301.

10323213120 is a `hidden beast` number, since 1 + 0 + 32 + 321 + 312 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10323213093 and 10323213102.

It is a congruent number.

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, 1167757 + ... + 1176563.

Almost surely, 210323213120 is an apocalyptic number.

10323213120 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 10323213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19893466944).

10323213120 is an abundant number, since it is smaller than the sum of its proper divisors (29463720768).

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

10323213120 is a wasteful number, since it uses less digits than its factorization.

10323213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8878 (or 8865 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10323213120 its reverse (2131232301), we get a palindrome (12454445421).

The spelling of 10323213120 in words is "ten billion, three hundred twenty-three million, two hundred thirteen thousand, one hundred twenty".