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2042040033221 is a prime number
BaseRepresentation
bin11101101101110011000…
…100100001111111000101
321020012212021120210221112
4131231303010201333011
5231424044222030341
64202033352454405
7300350440614416
oct35556304417705
97205767523845
102042040033221
1171802a3a9aa1
1228b9170aa405
1311a743169986
1470b99d7780d
15381b8b33aeb
hex1db73121fc5

2042040033221 has 2 divisors, whose sum is σ = 2042040033222. Its totient is φ = 2042040033220.

The previous prime is 2042040033197. The next prime is 2042040033223. The reversal of 2042040033221 is 1223300402402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1115951380996 + 926088652225 = 1056386^2 + 962335^2 .

It is a cyclic number.

It is not a de Polignac number, because 2042040033221 - 26 = 2042040033157 is a prime.

Together with 2042040033223, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2042040033223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1021020016610 + 1021020016611.

It is an arithmetic number, because the mean of its divisors is an integer number (1021020016611).

Almost surely, 22042040033221 is an apocalyptic number.

It is an amenable number.

2042040033221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2042040033221 is an equidigital number, since it uses as much as digits as its factorization.

2042040033221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 2042040033221 its reverse (1223300402402), we get a palindrome (3265340435623).

The spelling of 2042040033221 in words is "two trillion, forty-two billion, forty million, thirty-three thousand, two hundred twenty-one".