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211434412153 is a prime number
BaseRepresentation
bin1100010011101001111…
…0010001100001111001
3202012202020011000011211
43010322132101201321
511431004202142103
6241044233123121
721163353564406
oct3047236214171
9665666130154
10211434412153
118173a2392a8
1234b88b594a1
1316c27246423
14a33a9532ad
15577722336d
hex313a791879

211434412153 has 2 divisors, whose sum is σ = 211434412154. Its totient is φ = 211434412152.

The previous prime is 211434412151. The next prime is 211434412207. The reversal of 211434412153 is 351214434112.

It is a happy number.

211434412153 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., 196272922729 + 15161489424 = 443027^2 + 123132^2 .

It is a cyclic number.

It is not a de Polignac number, because 211434412153 - 21 = 211434412151 is a prime.

Together with 211434412151, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (211434412151) 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, 105717206076 + 105717206077.

It is an arithmetic number, because the mean of its divisors is an integer number (105717206077).

Almost surely, 2211434412153 is an apocalyptic number.

It is an amenable number.

211434412153 is a deficient number, since it is larger than the sum of its proper divisors (1).

211434412153 is an equidigital number, since it uses as much as digits as its factorization.

211434412153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11520, while the sum is 31.

Adding to 211434412153 its reverse (351214434112), we get a palindrome (562648846265).

The spelling of 211434412153 in words is "two hundred eleven billion, four hundred thirty-four million, four hundred twelve thousand, one hundred fifty-three".