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220031205921 = 3417159790273
BaseRepresentation
bin1100110011101011100…
…0011100001000100001
3210000221100112101020000
43030322320130020201
512101110442042141
6245025252210213
721616402251162
oct3147270341041
9700840471200
10220031205921
118535097473a
1236788009969
1317997301947
14a9145ab769
155acbd065b6
hex333ae1c221

220031205921 has 20 divisors (see below), whose sum is σ = 348023216772. Its totient is φ = 138058795008.

The previous prime is 220031205847. The next prime is 220031205923. The reversal of 220031205921 is 129502130022.

It is a happy number.

220031205921 is a `hidden beast` number, since 2 + 20 + 0 + 31 + 20 + 592 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 155365258896 + 64665947025 = 394164^2 + 254295^2 .

It is not a de Polignac number, because 220031205921 - 221 = 220029108769 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (220031205923) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 79893760 + ... + 79896513.

Almost surely, 2220031205921 is an apocalyptic number.

It is an amenable number.

220031205921 is a deficient number, since it is larger than the sum of its proper divisors (127992010851).

220031205921 is a wasteful number, since it uses less digits than its factorization.

220031205921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159790302 (or 159790293 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 220031205921 its reverse (129502130022), we get a palindrome (349533335943).

The spelling of 220031205921 in words is "two hundred twenty billion, thirty-one million, two hundred five thousand, nine hundred twenty-one".

Divisors: 1 3 9 17 27 51 81 153 459 1377 159790273 479370819 1438112457 2716434641 4314337371 8149303923 12943012113 24447911769 73343735307 220031205921