Search a number
-
+
312021121627 is a prime number
BaseRepresentation
bin1001000101001011110…
…10000111101001011011
31002211101021210021112001
410202211322013221123
520103004401343002
6355201315301431
731354113526225
oct4424572075133
91084337707461
10312021121627
11110366874966
125057b2aa877
132356747a227
141115d89b415
1581b2c02a87
hex48a5e87a5b

312021121627 has 2 divisors, whose sum is σ = 312021121628. Its totient is φ = 312021121626.

The previous prime is 312021121553. The next prime is 312021121637. The reversal of 312021121627 is 726121120213.

It is a strong prime.

It is an emirp because it is prime and its reverse (726121120213) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312021121627 is a prime.

It is a super-2 number, since 2×3120211216272 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312021121595 and 312021121604.

It is not a weakly prime, because it can be changed into another prime (312021121637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156010560813 + 156010560814.

It is an arithmetic number, because the mean of its divisors is an integer number (156010560814).

Almost surely, 2312021121627 is an apocalyptic number.

312021121627 is a deficient number, since it is larger than the sum of its proper divisors (1).

312021121627 is an equidigital number, since it uses as much as digits as its factorization.

312021121627 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 312021121627 in words is "three hundred twelve billion, twenty-one million, one hundred twenty-one thousand, six hundred twenty-seven".