Search a number
-
+
21122107033 is a prime number
BaseRepresentation
bin10011101010111110…
…011100011010011001
32000112000222012201111
4103222332130122121
5321224224411113
613411532020321
71345265642656
oct235276343231
960460865644
1021122107033
118a59973705
1241159016a1
131cb7cc8ab1
14104533ac2d
1583951c13d
hex4eaf9c699

21122107033 has 2 divisors, whose sum is σ = 21122107034. Its totient is φ = 21122107032.

The previous prime is 21122107003. The next prime is 21122107049. The reversal of 21122107033 is 33070122112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15827652864 + 5294454169 = 125808^2 + 72763^2 .

It is a cyclic number.

It is not a de Polignac number, because 21122107033 - 29 = 21122106521 is a prime.

It is a super-2 number, since 2×211221070332 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21122106995 and 21122107013.

It is not a weakly prime, because it can be changed into another prime (21122107003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10561053516 + 10561053517.

It is an arithmetic number, because the mean of its divisors is an integer number (10561053517).

Almost surely, 221122107033 is an apocalyptic number.

It is an amenable number.

21122107033 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122107033 is an equidigital number, since it uses as much as digits as its factorization.

21122107033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 22.

Adding to 21122107033 its reverse (33070122112), we get a palindrome (54192229145).

The spelling of 21122107033 in words is "twenty-one billion, one hundred twenty-two million, one hundred seven thousand, thirty-three".