Search a number
-
+
213234001031 is a prime number
BaseRepresentation
bin1100011010010110111…
…1001010010010000111
3202101101122101121000202
43012211233022102013
511443200401013111
6241543000401115
721256065050252
oct3064557122207
9671348347022
10213234001031
1182483042037
12353ab77619b
131715302130c
14a46b960099
1558301e9b3b
hex31a5bca487

213234001031 has 2 divisors, whose sum is σ = 213234001032. Its totient is φ = 213234001030.

The previous prime is 213234001003. The next prime is 213234001069. The reversal of 213234001031 is 130100432312.

213234001031 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 a de Polignac number, because none of the positive numbers 2k-213234001031 is a prime.

It is a super-2 number, since 2×2132340010312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213234000994 and 213234001012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213234001531) 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, 106617000515 + 106617000516.

It is an arithmetic number, because the mean of its divisors is an integer number (106617000516).

Almost surely, 2213234001031 is an apocalyptic number.

213234001031 is a deficient number, since it is larger than the sum of its proper divisors (1).

213234001031 is an equidigital number, since it uses as much as digits as its factorization.

213234001031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 213234001031 its reverse (130100432312), we get a palindrome (343334433343).

The spelling of 213234001031 in words is "two hundred thirteen billion, two hundred thirty-four million, one thousand, thirty-one".