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2313302313 = 371091010617
BaseRepresentation
bin1000100111100010…
…0011000100101001
312222012212221012110
42021320203010221
514214201133223
61021314032533
7111216513420
oct21170430451
95865787173
102313302313
11a878872a3
12546878749
132ab351b4a
1417d3322b7
15d814cd93
hex89e23129

2313302313 has 16 divisors (see below), whose sum is σ = 3557375360. Its totient is φ = 1309758336.

The previous prime is 2313302309. The next prime is 2313302317. The reversal of 2313302313 is 3132033132.

It is an interprime number because it is at equal distance from previous prime (2313302309) and next prime (2313302317).

It is not a de Polignac number, because 2313302313 - 22 = 2313302309 is a prime.

It is a super-2 number, since 2×23133023132 = 10702735182662299938, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2313302313.

It is not an unprimeable number, because it can be changed into a prime (2313302317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 503020 + ... + 507597.

It is an arithmetic number, because the mean of its divisors is an integer number (222335960).

Almost surely, 22313302313 is an apocalyptic number.

It is an amenable number.

2313302313 is a deficient number, since it is larger than the sum of its proper divisors (1244073047).

2313302313 is a wasteful number, since it uses less digits than its factorization.

2313302313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010736.

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 2313302313 is about 48096.8014840904. The cubic root of 2313302313 is about 1322.5460335629.

Adding to 2313302313 its reverse (3132033132), we get a palindrome (5445335445).

The spelling of 2313302313 in words is "two billion, three hundred thirteen million, three hundred two thousand, three hundred thirteen".

Divisors: 1 3 7 21 109 327 763 2289 1010617 3031851 7074319 21222957 110157253 330471759 771100771 2313302313