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311220212131033 is a prime number
BaseRepresentation
bin100011011000011011001101…
…0001100001110010011011001
31111210221100202200120120222121
41012300312122030032103121
5311243012443301143113
63021524331450021241
7122360626661125222
oct10660663214162331
91453840680516877
10311220212131033
1190189829287857
122aaa468b417821
1310486c2b46678a
1456bd1d25d4249
1525ea842b5be8d
hex11b0d9a30e4d9

311220212131033 has 2 divisors, whose sum is σ = 311220212131034. Its totient is φ = 311220212131032.

The previous prime is 311220212131027. The next prime is 311220212131069. The reversal of 311220212131033 is 330131212022113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 278017874081424 + 33202338049609 = 16673868^2 + 5762147^2 .

It is a cyclic number.

It is not a de Polignac number, because 311220212131033 - 221 = 311220210033881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 311220212130989 and 311220212131007.

It is not a weakly prime, because it can be changed into another prime (311220212431033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155610106065516 + 155610106065517.

It is an arithmetic number, because the mean of its divisors is an integer number (155610106065517).

Almost surely, 2311220212131033 is an apocalyptic number.

It is an amenable number.

311220212131033 is a deficient number, since it is larger than the sum of its proper divisors (1).

311220212131033 is an equidigital number, since it uses as much as digits as its factorization.

311220212131033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 311220212131033 its reverse (330131212022113), we get a palindrome (641351424153146).

The spelling of 311220212131033 in words is "three hundred eleven trillion, two hundred twenty billion, two hundred twelve million, one hundred thirty-one thousand, thirty-three".