Search a number
-
+
312111119014061 is a prime number
BaseRepresentation
bin100011011110111010000100…
…0011000010001100010101101
31111221002112100112001110201212
41012331310020120101202231
5311402112032431422221
63023445511344244205
7122512166325520523
oct10675641030214255
91457075315043655
10312111119014061
11904a2644a66244
122b009286310665
131051cc4c09b9a3
14571038a086313
152613ad6c16b5b
hex11bdd086118ad

312111119014061 has 2 divisors, whose sum is σ = 312111119014062. Its totient is φ = 312111119014060.

The previous prime is 312111119014039. The next prime is 312111119014081. The reversal of 312111119014061 is 160410911111213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311244786221161 + 866332792900 = 17642131^2 + 930770^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312111119014061 is a prime.

It is a super-2 number, since 2×3121111190140612 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312111119014031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156055559507030 + 156055559507031.

It is an arithmetic number, because the mean of its divisors is an integer number (156055559507031).

Almost surely, 2312111119014061 is an apocalyptic number.

It is an amenable number.

312111119014061 is a deficient number, since it is larger than the sum of its proper divisors (1).

312111119014061 is an equidigital number, since it uses as much as digits as its factorization.

312111119014061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 32.

The spelling of 312111119014061 in words is "three hundred twelve trillion, one hundred eleven billion, one hundred nineteen million, fourteen thousand, sixty-one".