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21122119933 is a prime number
BaseRepresentation
bin10011101010111110…
…011111100011111101
32000112000222212102021
4103222332133203331
5321224230314213
613411532200141
71345266025405
oct235276374375
960460885367
1021122119933
118a59982372
124115909051
131cb8001925
141045341805
15839520d8d
hex4eaf9f8fd

21122119933 has 2 divisors, whose sum is σ = 21122119934. Its totient is φ = 21122119932.

The previous prime is 21122119901. The next prime is 21122119987. The reversal of 21122119933 is 33991122112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20085408729 + 1036711204 = 141723^2 + 32198^2 .

It is a cyclic number.

It is not a de Polignac number, because 21122119933 - 25 = 21122119901 is a prime.

It is a super-3 number, since 3×211221199333 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21122129933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10561059966 + 10561059967.

It is an arithmetic number, because the mean of its divisors is an integer number (10561059967).

Almost surely, 221122119933 is an apocalyptic number.

It is an amenable number.

21122119933 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122119933 is an equidigital number, since it uses as much as digits as its factorization.

21122119933 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5832, while the sum is 34.

The spelling of 21122119933 in words is "twenty-one billion, one hundred twenty-two million, one hundred nineteen thousand, nine hundred thirty-three".