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21122223003041 is a prime number
BaseRepresentation
bin1001100110101111001101…
…00110010101010110100001
32202210021011001000210112012
410303113212212111112201
510232031303042044131
6112531225411442305
74310013243116516
oct463274646252641
982707131023465
1021122223003041
116803980259146
1224517658b6395
13ba2a81190544
1453046cd5530d
1526968681552b
hex1335e69955a1

21122223003041 has 2 divisors, whose sum is σ = 21122223003042. Its totient is φ = 21122223003040.

The previous prime is 21122223002981. The next prime is 21122223003047. The reversal of 21122223003041 is 14030032222112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21103650764641 + 18572238400 = 4593871^2 + 136280^2 .

It is a cyclic number.

It is not a de Polignac number, because 21122223003041 - 26 = 21122223002977 is a prime.

It is a super-2 number, since 2×211222230030412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21122223002998 and 21122223003016.

It is not a weakly prime, because it can be changed into another prime (21122223003047) 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, 10561111501520 + 10561111501521.

It is an arithmetic number, because the mean of its divisors is an integer number (10561111501521).

Almost surely, 221122223003041 is an apocalyptic number.

It is an amenable number.

21122223003041 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122223003041 is an equidigital number, since it uses as much as digits as its factorization.

21122223003041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 21122223003041 its reverse (14030032222112), we get a palindrome (35152255225153).

The spelling of 21122223003041 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred twenty-three million, three thousand, forty-one".