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312141421334321 is a prime number
BaseRepresentation
bin100011011111001000001011…
…0100010011100111100110001
31111221012102120100012211112122
41012332100112202130330301
5311403111112330144241
63023511442300204025
7122514321256141535
oct10676202642347461
91457172510184478
10312141421334321
1190504484918a27
122b013122539615
1310522a6ac949c7
145711a22709bc5
1526147ac15c04b
hex11be41689cf31

312141421334321 has 2 divisors, whose sum is σ = 312141421334322. Its totient is φ = 312141421334320.

The previous prime is 312141421334291. The next prime is 312141421334377. The reversal of 312141421334321 is 123433124141213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 251521805394721 + 60619615939600 = 15859439^2 + 7785860^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312141421334321 is a prime.

It is a super-2 number, since 2×3121414213343212 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312141421334521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156070710667160 + 156070710667161.

It is an arithmetic number, because the mean of its divisors is an integer number (156070710667161).

Almost surely, 2312141421334321 is an apocalyptic number.

It is an amenable number.

312141421334321 is a deficient number, since it is larger than the sum of its proper divisors (1).

312141421334321 is an equidigital number, since it uses as much as digits as its factorization.

312141421334321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 41472, while the sum is 35.

Adding to 312141421334321 its reverse (123433124141213), we get a palindrome (435574545475534).

The spelling of 312141421334321 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred twenty-one million, three hundred thirty-four thousand, three hundred twenty-one".