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312404222313 = 3237991587283
BaseRepresentation
bin1001000101111001011…
…11100010000101101001
31002212100222122210212100
410202330233202011221
520104300440103223
6355303322404013
731366445034651
oct4427457420551
91085328583770
10312404222313
111105430480a7
1250667660609
13235c8952821
1411198703361
1581d6679043
hex48bcbe2169

312404222313 has 12 divisors (see below), whose sum is σ = 452441182960. Its totient is φ = 207719955576.

The previous prime is 312404222219. The next prime is 312404222353. The reversal of 312404222313 is 313222404213.

312404222313 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 0 + 422 + 231 + 3 = 666.

It is not a de Polignac number, because 312404222313 - 210 = 312404221289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312404222353) 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, 45790231 + ... + 45797052.

Almost surely, 2312404222313 is an apocalyptic number.

It is an amenable number.

312404222313 is a deficient number, since it is larger than the sum of its proper divisors (140036960647).

312404222313 is a wasteful number, since it uses less digits than its factorization.

312404222313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91587668 (or 91587665 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 312404222313 its reverse (313222404213), we get a palindrome (625626626526).

The spelling of 312404222313 in words is "three hundred twelve billion, four hundred four million, two hundred twenty-two thousand, three hundred thirteen".

Divisors: 1 3 9 379 1137 3411 91587283 274761849 824285547 34711580257 104134740771 312404222313