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220132013301 = 32375411221917
BaseRepresentation
bin1100110100000011100…
…0111111010011110101
3210001012101012220221200
43031000320333103311
512101312243411201
6245043253003113
721622035145224
oct3150070772365
9701171186850
10220132013301
11853a2867822
12367b5923499
13179b2168a95
14a923b2ccbb
155ad5aba386
hex3340e3f4f5

220132013301 has 24 divisors (see below), whose sum is σ = 327166100664. Its totient is φ = 142524282240.

The previous prime is 220132013281. The next prime is 220132013347. The reversal of 220132013301 is 103310231022.

220132013301 is a `hidden beast` number, since 220 + 132 + 0 + 13 + 301 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21816767025 + 198315246276 = 147705^2 + 445326^2 .

It is a de Polignac number, because none of the positive numbers 2k-220132013301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220132013351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430806 + ... + 791111.

It is an arithmetic number, because the mean of its divisors is an integer number (13631920861).

Almost surely, 2220132013301 is an apocalyptic number.

It is an amenable number.

220132013301 is a deficient number, since it is larger than the sum of its proper divisors (107034087363).

220132013301 is a wasteful number, since it uses less digits than its factorization.

220132013301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222501 (or 1222498 counting only the distinct ones).

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

Adding to 220132013301 its reverse (103310231022), we get a palindrome (323442244323).

The spelling of 220132013301 in words is "two hundred twenty billion, one hundred thirty-two million, thirteen thousand, three hundred one".

Divisors: 1 3 9 37 111 333 541 1623 4869 20017 60051 180153 1221917 3665751 10997253 45210929 135632787 406898361 661057097 1983171291 5949513873 24459112589 73377337767 220132013301