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311302122221 is a prime number
BaseRepresentation
bin1001000011110110000…
…11010110101011101101
31002202112011212022202102
410201323003112223231
520100021320402341
6355002112504445
731330233244106
oct4417303265355
91082464768672
10311302122221
11110027a28a82
12503ba54b125
1323481517cac
15816ea2ac9b
hex487b0d6aed

311302122221 has 2 divisors, whose sum is σ = 311302122222. Its totient is φ = 311302122220.

The previous prime is 311302122211. The next prime is 311302122259. The reversal of 311302122221 is 122221203113.

Adding to 311302122221 its reverse (122221203113), we get a palindrome (433523325334).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 310438408900 + 863713321 = 557170^2 + 29389^2 .

It is a cyclic number.

It is not a de Polignac number, because 311302122221 - 222 = 311297927917 is a prime.

It is a super-2 number, since 2×3113021222212 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311302122193 and 311302122202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311302122211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155651061110 + 155651061111.

It is an arithmetic number, because the mean of its divisors is an integer number (155651061111).

Almost surely, 2311302122221 is an apocalyptic number.

It is an amenable number.

311302122221 is a deficient number, since it is larger than the sum of its proper divisors (1).

311302122221 is an equidigital number, since it uses as much as digits as its factorization.

311302122221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 311302122221 in words is "three hundred eleven billion, three hundred two million, one hundred twenty-two thousand, two hundred twenty-one".