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2201312313 = 322310634359
BaseRepresentation
bin1000001100110101…
…0101110000111001
312200102011020210200
42003031111300321
514002013443223
61002233432413
7105356563104
oct20315256071
95612136720
102201312313
11a2a646582
1251526b709
132910a0a85
1416c4dd73b
15cd3caa43
hex83355c39

2201312313 has 12 divisors (see below), whose sum is σ = 3317920320. Its totient is φ = 1403735256.

The previous prime is 2201312291. The next prime is 2201312369. The reversal of 2201312313 is 3132131022.

2201312313 is a `hidden beast` number, since 220 + 131 + 2 + 313 = 666.

It is not a de Polignac number, because 2201312313 - 210 = 2201311289 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2201312413) 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, 5316973 + ... + 5317386.

It is an arithmetic number, because the mean of its divisors is an integer number (276493360).

Almost surely, 22201312313 is an apocalyptic number.

2201312313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2201312313 is a deficient number, since it is larger than the sum of its proper divisors (1116608007).

2201312313 is a wasteful number, since it uses less digits than its factorization.

2201312313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10634388 (or 10634385 counting only the distinct ones).

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

The square root of 2201312313 is about 46918.1448162648. The cubic root of 2201312313 is about 1300.8499989434.

Adding to 2201312313 its reverse (3132131022), we get a palindrome (5333443335).

The spelling of 2201312313 in words is "two billion, two hundred one million, three hundred twelve thousand, three hundred thirteen".

Divisors: 1 3 9 23 69 207 10634359 31903077 95709231 244590257 733770771 2201312313