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220000113000 = 23325337660661
BaseRepresentation
bin1100110011100100000…
…1110101000101101000
3210000212012000200202100
43030321001311011220
512101030012104000
6245022221533400
721615544051233
oct3147101650550
9700765020670
10220000113000
1185335368108
1236779714260
1317990a36375
14a9103d641a
155ac9213a00
hex3339075168

220000113000 has 192 divisors, whose sum is σ = 763698845520. Its totient is φ = 57081024000.

The previous prime is 220000112999. The next prime is 220000113029. The reversal of 220000113000 is 311000022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 84957092676 + 135043020324 = 291474^2 + 367482^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2670 + ... + 663330.

Almost surely, 2220000113000 is an apocalyptic number.

220000113000 is a gapful number since it is divisible by the number (20) 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 220000113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381849422760).

220000113000 is an abundant number, since it is smaller than the sum of its proper divisors (543698732520).

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

220000113000 is a wasteful number, since it uses less digits than its factorization.

220000113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660725 (or 660708 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 220000113000 its reverse (311000022), we get a palindrome (220311113022).

The spelling of 220000113000 in words is "two hundred twenty billion, one hundred thirteen thousand".