Search a number
-
+
312233101007 is a prime number
BaseRepresentation
bin1001000101100101000…
…10110000011011001111
31002211221001122221120012
410202302202300123033
520103423133213012
6355234330543435
731362266366012
oct4426242603317
91084831587505
10312233101007
1111046549a133
125061a297b7b
132359c36a009
141117dabb379
1581c6626622
hex48b28b06cf

312233101007 has 2 divisors, whose sum is σ = 312233101008. Its totient is φ = 312233101006.

The previous prime is 312233100989. The next prime is 312233101009. The reversal of 312233101007 is 700101332213.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 312233101007 - 26 = 312233100943 is a prime.

Together with 312233101009, 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 (312233101009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156116550503 + 156116550504.

It is an arithmetic number, because the mean of its divisors is an integer number (156116550504).

Almost surely, 2312233101007 is an apocalyptic number.

312233101007 is a deficient number, since it is larger than the sum of its proper divisors (1).

312233101007 is an equidigital number, since it uses as much as digits as its factorization.

312233101007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 23.

The spelling of 312233101007 in words is "three hundred twelve billion, two hundred thirty-three million, one hundred one thousand, seven".