Search a number
-
+
31122203269 is a prime number
BaseRepresentation
bin11100111111000001…
…110010001010000101
32222022221220201212011
4130333001302022011
51002214241001034
622144120454221
72151144235333
oct347701621205
988287821764
1031122203269
1112220743a53
12604691a371
132c1ca1acc1
1417134c6b53
15c223e8864
hex73f072285

31122203269 has 2 divisors, whose sum is σ = 31122203270. Its totient is φ = 31122203268.

The previous prime is 31122203201. The next prime is 31122203311. The reversal of 31122203269 is 96230222113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22793450625 + 8328752644 = 150975^2 + 91262^2 .

It is a cyclic number.

It is not a de Polignac number, because 31122203269 - 217 = 31122072197 is a prime.

It is a super-3 number, since 3×311222032693 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 31122203269.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31122203069) 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 as a sum of consecutive naturals, namely, 15561101634 + 15561101635.

It is an arithmetic number, because the mean of its divisors is an integer number (15561101635).

Almost surely, 231122203269 is an apocalyptic number.

It is an amenable number.

31122203269 is a deficient number, since it is larger than the sum of its proper divisors (1).

31122203269 is an equidigital number, since it uses as much as digits as its factorization.

31122203269 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 31122203269 in words is "thirty-one billion, one hundred twenty-two million, two hundred three thousand, two hundred sixty-nine".