Search a number
-
+
211404309929 is a prime number
BaseRepresentation
bin1100010011100010101…
…1011100010110101001
3202012200010111122200122
43010320223130112221
511430424000404204
6241041240013025
721162536662001
oct3047053342651
9665603448618
10211404309929
118172424902a
1234b7aa61175
1316c20c36a67
14a336959001
1557747790be
hex3138adc5a9

211404309929 has 2 divisors, whose sum is σ = 211404309930. Its totient is φ = 211404309928.

The previous prime is 211404309901. The next prime is 211404310057. The reversal of 211404309929 is 929903404112.

211404309929 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 can be written as a sum of positive squares in only one way, i.e., 175426945600 + 35977364329 = 418840^2 + 189677^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211404309929 is a prime.

It is a super-3 number, since 3×2114043099293 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211404309929.

It is not a weakly prime, because it can be changed into another prime (211404309029) 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, 105702154964 + 105702154965.

It is an arithmetic number, because the mean of its divisors is an integer number (105702154965).

Almost surely, 2211404309929 is an apocalyptic number.

It is an amenable number.

211404309929 is a deficient number, since it is larger than the sum of its proper divisors (1).

211404309929 is an equidigital number, since it uses as much as digits as its factorization.

211404309929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139968, while the sum is 44.

The spelling of 211404309929 in words is "two hundred eleven billion, four hundred four million, three hundred nine thousand, nine hundred twenty-nine".