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31202221013 is a prime number
BaseRepresentation
bin11101000011110011…
…000001101111010101
32222112112111001120022
4131003303001233111
51002400232033023
622200055514525
72153135334245
oct350363015725
988475431508
1031202221013
1112261927517
126069688a45
132c33486492
14171dd95b25
15c294527c8
hex743cc1bd5

31202221013 has 2 divisors, whose sum is σ = 31202221014. Its totient is φ = 31202221012.

The previous prime is 31202221009. The next prime is 31202221031. The reversal of 31202221013 is 31012220213.

Together with next prime (31202221031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26700213604 + 4502007409 = 163402^2 + 67097^2 .

It is a cyclic number.

It is not a de Polignac number, because 31202221013 - 22 = 31202221009 is a prime.

It is a super-2 number, since 2×312022210132 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31202220982 and 31202221000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31202221913) 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, 15601110506 + 15601110507.

It is an arithmetic number, because the mean of its divisors is an integer number (15601110507).

Almost surely, 231202221013 is an apocalyptic number.

It is an amenable number.

31202221013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31202221013 is an equidigital number, since it uses as much as digits as its factorization.

31202221013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 31202221013 its reverse (31012220213), we get a palindrome (62214441226).

The spelling of 31202221013 in words is "thirty-one billion, two hundred two million, two hundred twenty-one thousand, thirteen".