Search a number
-
+
10212203213 is a prime number
BaseRepresentation
bin10011000001011000…
…11101101011001101
3222100201001200012122
421200230131223031
5131403311000323
64405202542325
7511032203132
oct114054355315
928321050178
1010212203213
114370582473
121b900679a5
13c699580c4
146cc400589
153eb827ec8
hex260b1dacd

10212203213 has 2 divisors, whose sum is σ = 10212203214. Its totient is φ = 10212203212.

The previous prime is 10212203191. The next prime is 10212203233. The reversal of 10212203213 is 31230221201.

10212203213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6500713129 + 3711490084 = 80627^2 + 60922^2 .

It is a cyclic number.

It is not a de Polignac number, because 10212203213 - 26 = 10212203149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10212203191 and 10212203200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10212203233) 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, 5106101606 + 5106101607.

It is an arithmetic number, because the mean of its divisors is an integer number (5106101607).

Almost surely, 210212203213 is an apocalyptic number.

It is an amenable number.

10212203213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212203213 is an equidigital number, since it uses as much as digits as its factorization.

10212203213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10212203213 its reverse (31230221201), we get a palindrome (41442424414).

The spelling of 10212203213 in words is "ten billion, two hundred twelve million, two hundred three thousand, two hundred thirteen".