Search a number
-
+
312123002077 is a prime number
BaseRepresentation
bin1001000101010111111…
…10110000110011011101
31002211122101111100020001
410202223332300303131
520103211442031302
6355215355054301
731356461512615
oct4425376606335
91084571440201
10312123002077
11110409330187
12505a9441391
13235825cb913
141116d21ba45
1581bbb29787
hex48abfb0cdd

312123002077 has 2 divisors, whose sum is σ = 312123002078. Its totient is φ = 312123002076.

The previous prime is 312123002071. The next prime is 312123002137. The reversal of 312123002077 is 770200321213.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 310933372996 + 1189629081 = 557614^2 + 34491^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312123002077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312123002071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156061501038 + 156061501039.

It is an arithmetic number, because the mean of its divisors is an integer number (156061501039).

Almost surely, 2312123002077 is an apocalyptic number.

It is an amenable number.

312123002077 is a deficient number, since it is larger than the sum of its proper divisors (1).

312123002077 is an equidigital number, since it uses as much as digits as its factorization.

312123002077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3528, while the sum is 28.

The spelling of 312123002077 in words is "three hundred twelve billion, one hundred twenty-three million, two thousand, seventy-seven".