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312100133087 is a prime number
BaseRepresentation
bin1001000101010101001…
…11100001100011011111
31002211120210110110212102
410202222213201203133
520103140113224322
6355213220555315
731356063234311
oct4425247414337
91084523413772
10312100133087
111103a7430396
12505a1852b3b
132357a952682
141116a1877b1
1581b9b0d792
hex48aa9e18df

312100133087 has 2 divisors, whose sum is σ = 312100133088. Its totient is φ = 312100133086.

The previous prime is 312100133083. The next prime is 312100133089. The reversal of 312100133087 is 780331001213.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 312100133087 - 22 = 312100133083 is a prime.

It is a super-2 number, since 2×3121001330872 (a number of 24 digits) contains 22 as substring.

Together with 312100133089, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312100133083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156050066543 + 156050066544.

It is an arithmetic number, because the mean of its divisors is an integer number (156050066544).

Almost surely, 2312100133087 is an apocalyptic number.

312100133087 is a deficient number, since it is larger than the sum of its proper divisors (1).

312100133087 is an equidigital number, since it uses as much as digits as its factorization.

312100133087 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 29.

The spelling of 312100133087 in words is "three hundred twelve billion, one hundred million, one hundred thirty-three thousand, eighty-seven".