Search a number
-
+
213311021831 is a prime number
BaseRepresentation
bin1100011010101001010…
…0111110001100000111
3202101121000022122200222
43012222110332030013
511443330110144311
6241554351254555
721261021524555
oct3065224761407
9671530278628
10213311021831
1182512568996
123541151a45b
1317165c7a65b
14a477c8cbd5
155836d60adb
hex31aa53e307

213311021831 has 2 divisors, whose sum is σ = 213311021832. Its totient is φ = 213311021830.

The previous prime is 213311021827. The next prime is 213311021837. The reversal of 213311021831 is 138120113312.

213311021831 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 213311021831 - 22 = 213311021827 is a prime.

It is a super-2 number, since 2×2133110218312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213311021831.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213311021837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106655510915 + 106655510916.

It is an arithmetic number, because the mean of its divisors is an integer number (106655510916).

Almost surely, 2213311021831 is an apocalyptic number.

213311021831 is a deficient number, since it is larger than the sum of its proper divisors (1).

213311021831 is an equidigital number, since it uses as much as digits as its factorization.

213311021831 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 213311021831 in words is "two hundred thirteen billion, three hundred eleven million, twenty-one thousand, eight hundred thirty-one".