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311222222113 = 11257990111119
BaseRepresentation
bin1001000011101100100…
…10100011110100100001
31002202022121111222102011
410201312102203310201
520044340342101423
6354550140152521
731325243145145
oct4416622436441
91082277458364
10311222222113
1110aa96915930
1250397838741
132346aac121a
14110c573b225
1581679e6b0d
hex48764a3d21

311222222113 has 16 divisors (see below), whose sum is σ = 340901303040. Its totient is φ = 281774592000.

The previous prime is 311222222099. The next prime is 311222222117.

311222222113 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-311222222113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311222222117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27984568 + ... + 27995686.

It is an arithmetic number, because the mean of its divisors is an integer number (21306331440).

Almost surely, 2311222222113 is an apocalyptic number.

It is an amenable number.

311222222113 is a deficient number, since it is larger than the sum of its proper divisors (29679080927).

311222222113 is a wasteful number, since it uses less digits than its factorization.

311222222113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21288.

The product of its digits is 576, while the sum is 22.

Multiplying 311222222113 by its sum of digits (22), we get a palindrome (6846888886486).

It can be divided in two parts, 311222 and 222113, that added together give a palindrome (533335).

The spelling of 311222222113 in words is "three hundred eleven billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred thirteen".

Divisors: 1 11 257 2827 9901 11119 108911 122309 2544557 2857583 27990127 31433413 110089219 1210981409 28292929283 311222222113