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220132013000 = 2353220132013
BaseRepresentation
bin1100110100000011100…
…0111111001111001000
3210001012101012220112112
43031000320333033020
512101312243404000
6245043253001452
721622035144314
oct3150070771710
9701171186475
10220132013000
11853a2867579
12367b5923288
13179b21688c3
14a923b2cb44
155ad5aba235
hex3340e3f3c8

220132013000 has 32 divisors (see below), whose sum is σ = 515108912760. Its totient is φ = 88052804800.

The previous prime is 220132012979. The next prime is 220132013009. The reversal of 220132013000 is 310231022.

It is a happy number.

220132013000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 121637722756 + 98494290244 = 348766^2 + 313838^2 .

It is not an unprimeable number, because it can be changed into a prime (220132013009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110065007 + ... + 110067006.

Almost surely, 2220132013000 is an apocalyptic number.

220132013000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220132013000 is an abundant number, since it is smaller than the sum of its proper divisors (294976899760).

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

220132013000 is a wasteful number, since it uses less digits than its factorization.

220132013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220132034 (or 220132020 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 220132013000 its reverse (310231022), we get a palindrome (220442244022).

The spelling of 220132013000 in words is "two hundred twenty billion, one hundred thirty-two million, thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 220132013 440264026 880528052 1100660065 1761056104 2201320130 4402640260 5503300325 8805280520 11006600650 22013201300 27516501625 44026402600 55033003250 110066006500 220132013000