Search a number
-
+
211321203829 is a prime number
BaseRepresentation
bin1100010011001110111…
…0011010110001110101
3202012110100010102112221
43010303232122301311
511430241212010304
6241025110442341
721160510411111
oct3046356326165
9665410112487
10211321203829
11816913461aa
1234b570633b1
1316c09959958
14a3298c4741
15576c310054
hex3133b9ac75

211321203829 has 2 divisors, whose sum is σ = 211321203830. Its totient is φ = 211321203828.

The previous prime is 211321203809. The next prime is 211321203839. The reversal of 211321203829 is 928302123112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 171004579729 + 40316624100 = 413527^2 + 200790^2 .

It is a cyclic number.

It is not a de Polignac number, because 211321203829 - 231 = 209173720181 is a prime.

It is a super-2 number, since 2×2113212038292 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211321203794 and 211321203803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211321203809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105660601914 + 105660601915.

It is an arithmetic number, because the mean of its divisors is an integer number (105660601915).

Almost surely, 2211321203829 is an apocalyptic number.

It is an amenable number.

211321203829 is a deficient number, since it is larger than the sum of its proper divisors (1).

211321203829 is an equidigital number, since it uses as much as digits as its factorization.

211321203829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 211321203829 in words is "two hundred eleven billion, three hundred twenty-one million, two hundred three thousand, eight hundred twenty-nine".