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21157665233 is a prime number
BaseRepresentation
bin10011101101000110…
…000101100111010001
32000121111212202101212
4103231012011213101
5321312330241413
613415242105505
71346210121125
oct235506054721
960544782355
1021157665233
118a77a50051
1241257ab295
131cc2498953
141049d55585
1583c6e2ca8
hex4ed1859d1

21157665233 has 2 divisors, whose sum is σ = 21157665234. Its totient is φ = 21157665232.

The previous prime is 21157665229. The next prime is 21157665257. The reversal of 21157665233 is 33256675112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20945904529 + 211760704 = 144727^2 + 14552^2 .

It is a cyclic number.

It is not a de Polignac number, because 21157665233 - 22 = 21157665229 is a prime.

It is a super-2 number, since 2×211576652332 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21157665833) 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, 10578832616 + 10578832617.

It is an arithmetic number, because the mean of its divisors is an integer number (10578832617).

Almost surely, 221157665233 is an apocalyptic number.

It is an amenable number.

21157665233 is a deficient number, since it is larger than the sum of its proper divisors (1).

21157665233 is an equidigital number, since it uses as much as digits as its factorization.

21157665233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 226800, while the sum is 41.

The spelling of 21157665233 in words is "twenty-one billion, one hundred fifty-seven million, six hundred sixty-five thousand, two hundred thirty-three".