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211131202141 is a prime number
BaseRepresentation
bin1100010010100001100…
…1100111101001011101
3202011222002121100020101
43010220121213221131
511424344041432031
6240554202221101
721153012415246
oct3045031475135
9664862540211
10211131202141
11815a4072112
1234b034b4791
1316ba9493512
14a30c585ccd
15575a7cd361
hex3128667a5d

211131202141 has 2 divisors, whose sum is σ = 211131202142. Its totient is φ = 211131202140.

The previous prime is 211131202097. The next prime is 211131202181. The reversal of 211131202141 is 141202131112.

211131202141 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., 176025558916 + 35105643225 = 419554^2 + 187365^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211131202141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211131202181) 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, 105565601070 + 105565601071.

It is an arithmetic number, because the mean of its divisors is an integer number (105565601071).

Almost surely, 2211131202141 is an apocalyptic number.

It is an amenable number.

211131202141 is a deficient number, since it is larger than the sum of its proper divisors (1).

211131202141 is an equidigital number, since it uses as much as digits as its factorization.

211131202141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 211131202141 its reverse (141202131112), we get a palindrome (352333333253).

The spelling of 211131202141 in words is "two hundred eleven billion, one hundred thirty-one million, two hundred two thousand, one hundred forty-one".