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10323222120 = 233351719101293
BaseRepresentation
bin10011001110100111…
…11101111001101000
3222122102222000112000
421213103331321220
5132120221101440
64424210251000
7513550640331
oct114723757150
928572860460
1010323222120
11441820a632
122001286a60
13c86959173
146dd05d288
15406457730
hex2674fde68

10323222120 has 512 divisors, whose sum is σ = 38864448000. Its totient is φ = 2421964800.

The previous prime is 10323222097. The next prime is 10323222131. The reversal of 10323222120 is 2122232301.

10323222120 is a `hidden beast` number, since 1 + 0 + 323 + 222 + 120 = 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 = 10323222093 and 10323222102.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35232694 + ... + 35232986.

It is an arithmetic number, because the mean of its divisors is an integer number (75907125).

Almost surely, 210323222120 is an apocalyptic number.

10323222120 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 10323222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19432224000).

10323222120 is an abundant number, since it is smaller than the sum of its proper divisors (28541225880).

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

10323222120 is a wasteful number, since it uses less digits than its factorization.

10323222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10323222120 its reverse (2122232301), we get a palindrome (12445454421).

The spelling of 10323222120 in words is "ten billion, three hundred twenty-three million, two hundred twenty-two thousand, one hundred twenty".