Search a number
-
+
233100221111309 is a prime number
BaseRepresentation
bin110101000000000011011111…
…111000000101110000001101
31010120100011102012022001110002
4311000003133320011300031
5221023103223101030214
62143432432510254045
7100045635531452036
oct6500033770056015
91116304365261402
10233100221111309
11683002809a83a2
12221884744b7325
13a00b3447a6c46
14417c17a443a8d
151be3711e211de
hexd400dfe05c0d

233100221111309 has 2 divisors, whose sum is σ = 233100221111310. Its totient is φ = 233100221111308.

The previous prime is 233100221111287. The next prime is 233100221111353. The reversal of 233100221111309 is 903111122001332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 125545795097284 + 107554426014025 = 11204722^2 + 10370845^2 .

It is a cyclic number.

It is not a de Polignac number, because 233100221111309 - 28 = 233100221111053 is a prime.

It is a super-2 number, since 2×2331002211113092 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233100221111909) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116550110555654 + 116550110555655.

It is an arithmetic number, because the mean of its divisors is an integer number (116550110555655).

Almost surely, 2233100221111309 is an apocalyptic number.

It is an amenable number.

233100221111309 is a deficient number, since it is larger than the sum of its proper divisors (1).

233100221111309 is an equidigital number, since it uses as much as digits as its factorization.

233100221111309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 233100221111309 in words is "two hundred thirty-three trillion, one hundred billion, two hundred twenty-one million, one hundred eleven thousand, three hundred nine".