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311302122073 is a prime number
BaseRepresentation
bin1001000011110110000…
…11010110101001011001
31002202112011212022112221
410201323003112221121
520100021320401243
6355002112504041
731330233243505
oct4417303265131
91082464768487
10311302122073
11110027a28958
12503ba54b021
1323481517bc7
14110d21b9305
15816ea2abed
hex487b0d6a59

311302122073 has 2 divisors, whose sum is σ = 311302122074. Its totient is φ = 311302122072.

The previous prime is 311302122067. The next prime is 311302122113. The reversal of 311302122073 is 370221203113.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 252569568969 + 58732553104 = 502563^2 + 242348^2 .

It is a cyclic number.

It is not a de Polignac number, because 311302122073 - 25 = 311302122041 is a prime.

It is a super-2 number, since 2×3113021220732 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (311302122023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155651061036 + 155651061037.

It is an arithmetic number, because the mean of its divisors is an integer number (155651061037).

Almost surely, 2311302122073 is an apocalyptic number.

It is an amenable number.

311302122073 is a deficient number, since it is larger than the sum of its proper divisors (1).

311302122073 is an equidigital number, since it uses as much as digits as its factorization.

311302122073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 25.

Adding to 311302122073 its reverse (370221203113), we get a palindrome (681523325186).

The spelling of 311302122073 in words is "three hundred eleven billion, three hundred two million, one hundred twenty-two thousand, seventy-three".