Search a number
-
+
21132023201 is a prime number
BaseRepresentation
bin10011101011100100…
…010001010110100001
32000112201122000010222
4103223210101112201
5321234244220301
613412524332425
71345446143042
oct235344212641
960481560128
1021132023201
118a64526893
1241190a4115
131cba08b453
14104679c8c9
1583a32a31b
hex4eb9115a1

21132023201 has 2 divisors, whose sum is σ = 21132023202. Its totient is φ = 21132023200.

The previous prime is 21132023197. The next prime is 21132023203. The reversal of 21132023201 is 10232023112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15276712801 + 5855310400 = 123599^2 + 76520^2 .

It is a cyclic number.

It is not a de Polignac number, because 21132023201 - 22 = 21132023197 is a prime.

Together with 21132023203, 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 21132023201.

It is not a weakly prime, because it can be changed into another prime (21132023203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10566011600 + 10566011601.

It is an arithmetic number, because the mean of its divisors is an integer number (10566011601).

Almost surely, 221132023201 is an apocalyptic number.

It is an amenable number.

21132023201 is a deficient number, since it is larger than the sum of its proper divisors (1).

21132023201 is an equidigital number, since it uses as much as digits as its factorization.

21132023201 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 21132023201 its reverse (10232023112), we get a palindrome (31364046313).

The spelling of 21132023201 in words is "twenty-one billion, one hundred thirty-two million, twenty-three thousand, two hundred one".