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2202201313 = 13228574561
BaseRepresentation
bin1000001101000010…
…1110110011100001
312200110211102021121
42003100232303201
514002230420223
61002304452241
7105400254664
oct20320566341
95613742247
102202201313
11a300a3494
1251561a081
13291322600
1416c6916db
15cd50415d
hex8342ece1

2202201313 has 12 divisors (see below), whose sum is σ = 2385989868. Its totient is φ = 2031644160.

The previous prime is 2202201311. The next prime is 2202201317. The reversal of 2202201313 is 3131022022.

It can be written as a sum of positive squares in 6 ways, for example, as 312299584 + 1889901729 = 17672^2 + 43473^2 .

It is not a de Polignac number, because 2202201313 - 21 = 2202201311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2202201311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 480553 + ... + 485113.

It is an arithmetic number, because the mean of its divisors is an integer number (198832489).

Almost surely, 22202201313 is an apocalyptic number.

It is an amenable number.

2202201313 is a deficient number, since it is larger than the sum of its proper divisors (183788555).

2202201313 is a wasteful number, since it uses less digits than its factorization.

2202201313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7444 (or 7431 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2202201313 is about 46927.6178065753. The cubic root of 2202201313 is about 1301.0250914702.

Adding to 2202201313 its reverse (3131022022), we get a palindrome (5333223335).

The spelling of 2202201313 in words is "two billion, two hundred two million, two hundred one thousand, three hundred thirteen".

Divisors: 1 13 169 2857 4561 37141 59293 482833 770809 13030777 169400101 2202201313