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220201312113 = 32193126771049
BaseRepresentation
bin1100110100010100000…
…1010101111101110001
3210001101012121200001100
43031011001111331301
512101433013441423
6245054210155013
721623536161456
oct3150501257561
9701335550040
10220201312113
1185428999a72
1236814b82a69
13179c36203b3
14a92d00b82d
155adbc08343
hex3345055f71

220201312113 has 12 divisors (see below), whose sum is σ = 319716588100. Its totient is φ = 146040247296.

The previous prime is 220201312109. The next prime is 220201312127. The reversal of 220201312113 is 311213102022.

220201312113 is a `hidden beast` number, since 220 + 20 + 1 + 312 + 113 = 666.

220201312113 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 2 ways, for example, as 14350362849 + 205850949264 = 119793^2 + 453708^2 .

It is not a de Polignac number, because 220201312113 - 22 = 220201312109 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220201312813) 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 11 ways as a sum of consecutive naturals, for example, 63383788 + ... + 63387261.

Almost surely, 2220201312113 is an apocalyptic number.

It is an amenable number.

220201312113 is a deficient number, since it is larger than the sum of its proper divisors (99515275987).

220201312113 is a wasteful number, since it uses less digits than its factorization.

220201312113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126771248 (or 126771245 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 220201312113 its reverse (311213102022), we get a palindrome (531414414135).

The spelling of 220201312113 in words is "two hundred twenty billion, two hundred one million, three hundred twelve thousand, one hundred thirteen".

Divisors: 1 3 9 193 579 1737 126771049 380313147 1140939441 24466812457 73400437371 220201312113