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312003120031 is a prime number
BaseRepresentation
bin1001000101001001101…
…01011100101110011111
31002211100000220200222021
410202210311130232133
520102440244320111
6355155433401011
731353504522361
oct4424465345637
91084300820867
10312003120031
1111035769a009
1250575269167
13235638165b5
141115b332d31
1581b1348d71
hex48a4d5cb9f

312003120031 has 2 divisors, whose sum is σ = 312003120032. Its totient is φ = 312003120030.

The previous prime is 312003119971. The next prime is 312003120043. The reversal of 312003120031 is 130021300213.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 312003120031 - 213 = 312003111839 is a prime.

It is a super-2 number, since 2×3120031200312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312003119987 and 312003120014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312003123031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156001560015 + 156001560016.

It is an arithmetic number, because the mean of its divisors is an integer number (156001560016).

Almost surely, 2312003120031 is an apocalyptic number.

312003120031 is a deficient number, since it is larger than the sum of its proper divisors (1).

312003120031 is an equidigital number, since it uses as much as digits as its factorization.

312003120031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 312003120031 its reverse (130021300213), we get a palindrome (442024420244).

The spelling of 312003120031 in words is "three hundred twelve billion, three million, one hundred twenty thousand, thirty-one".