Search a number
-
+
31020022300121 is a prime number
BaseRepresentation
bin1110000110110011010010…
…11010001111110111011001
311001211111002200121102020022
413003121221122033313121
513031213001202100441
6145550222421040225
76351060033031121
oct703315132176731
9131744080542208
1031020022300121
11997a576997418
12358ba7a856075
1314402388bca4a
1479353ca41c81
1538bd7e21384b
hex1c366968fdd9

31020022300121 has 2 divisors, whose sum is σ = 31020022300122. Its totient is φ = 31020022300120.

The previous prime is 31020022300087. The next prime is 31020022300123. The reversal of 31020022300121 is 12100322002013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30054637448521 + 965384851600 = 5482211^2 + 982540^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31020022300121 is a prime.

It is a super-2 number, since 2×310200223001212 (a number of 28 digits) contains 22 as substring.

Together with 31020022300123, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31020022300121.

It is not a weakly prime, because it can be changed into another prime (31020022300123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15510011150060 + 15510011150061.

It is an arithmetic number, because the mean of its divisors is an integer number (15510011150061).

Almost surely, 231020022300121 is an apocalyptic number.

It is an amenable number.

31020022300121 is a deficient number, since it is larger than the sum of its proper divisors (1).

31020022300121 is an equidigital number, since it uses as much as digits as its factorization.

31020022300121 is an evil number, because the sum of its binary digits is even.

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

Adding to 31020022300121 its reverse (12100322002013), we get a palindrome (43120344302134).

The spelling of 31020022300121 in words is "thirty-one trillion, twenty billion, twenty-two million, three hundred thousand, one hundred twenty-one".