Search a number
-
+
311233121331857 is a prime number
BaseRepresentation
bin100011011000100001001101…
…1101000111010101010010001
31111210222121002100111221101122
41012301002123220322222101
5311243220413030104412
63021534304435012025
7122361564612411224
oct10661023350725221
91453877070457348
10311233121331857
119019425318546a
122aaa709273a015
1310488207a9684a
1456bda98c855bb
1525ead4b125572
hex11b109ba3aa91

311233121331857 has 2 divisors, whose sum is σ = 311233121331858. Its totient is φ = 311233121331856.

The previous prime is 311233121331827. The next prime is 311233121331883. The reversal of 311233121331857 is 758133121332113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 274830614496256 + 36402506835601 = 16578016^2 + 6033449^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-311233121331857 is a prime.

It is not a weakly prime, because it can be changed into another prime (311233121331827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155616560665928 + 155616560665929.

It is an arithmetic number, because the mean of its divisors is an integer number (155616560665929).

Almost surely, 2311233121331857 is an apocalyptic number.

It is an amenable number.

311233121331857 is a deficient number, since it is larger than the sum of its proper divisors (1).

311233121331857 is an equidigital number, since it uses as much as digits as its factorization.

311233121331857 is an evil number, because the sum of its binary digits is even.

The product of its digits is 272160, while the sum is 44.

The spelling of 311233121331857 in words is "three hundred eleven trillion, two hundred thirty-three billion, one hundred twenty-one million, three hundred thirty-one thousand, eight hundred fifty-seven".