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11330010120 = 23351113250789
BaseRepresentation
bin10101000110101001…
…00011110000001000
31002020121102011000110
422203110203300020
5141200440310440
65112133234320
7550524332322
oct124324436010
932217364013
1011330010120
11489454a330
1222424929a0
1310b7401c00
14796a56612
15464a2a080
hex2a3523c08

11330010120 has 192 divisors, whose sum is σ = 40152542400. Its totient is φ = 2535336960.

The previous prime is 11330010103. The next prime is 11330010163. The reversal of 11330010120 is 2101003311.

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

It is a junction number, because it is equal to n+sod(n) for n = 11330010096 and 11330010105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197686 + ... + 248474.

It is an arithmetic number, because the mean of its divisors is an integer number (209127825).

Almost surely, 211330010120 is an apocalyptic number.

11330010120 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 11330010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20076271200).

11330010120 is an abundant number, since it is smaller than the sum of its proper divisors (28822532280).

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

11330010120 is a wasteful number, since it uses less digits than its factorization.

11330010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50840 (or 50823 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11330010120 its reverse (2101003311), we get a palindrome (13431013431).

The spelling of 11330010120 in words is "eleven billion, three hundred thirty million, ten thousand, one hundred twenty".