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31223211232213 = 7111331192019213
BaseRepresentation
bin1110001100101101110000…
…11010100000101111010101
311002112220120021102122011201
413012112320122200233111
513043030114033412323
6150223424545032501
76401542165330210
oct706267032405725
9132486507378151
1031223211232213
119a48764831490
123603326325731
13145644a7a3a90
1479d2d646a777
153922c25eb8ad
hex1c65b86a0bd5

31223211232213 has 16 divisors (see below), whose sum is σ = 41922073823616. Its totient is φ = 22458253832640.

The previous prime is 31223211232189. The next prime is 31223211232237.

31223211232213 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (31223211232189) and next prime (31223211232237).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31223211232213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31223211232253) 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 in 15 ways as a sum of consecutive naturals, for example, 15596008606 + ... + 15596010607.

It is an arithmetic number, because the mean of its divisors is an integer number (2620129613976).

Almost surely, 231223211232213 is an apocalyptic number.

It is an amenable number.

31223211232213 is a deficient number, since it is larger than the sum of its proper divisors (10698862591403).

31223211232213 is a wasteful number, since it uses less digits than its factorization.

31223211232213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31192019244.

The product of its digits is 5184, while the sum is 28.

It can be divided in two parts, 3122321 and 1232213, that added together give a palindrome (4354534).

The spelling of 31223211232213 in words is "thirty-one trillion, two hundred twenty-three billion, two hundred eleven million, two hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 7 11 13 77 91 143 1001 31192019213 218344134491 343112211343 405496249769 2401785479401 2838473748383 4460458747459 31223211232213