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10042221311 is a prime number
BaseRepresentation
bin10010101101001000…
…00010001011111111
3221220212012200212122
421112210002023333
5131031302040221
64340251353155
7503566321103
oct112644021377
927825180778
1010042221311
114293632561
121b431527bb
13c406810b5
146b39d3903
153db94ceab
hex2569022ff

10042221311 has 2 divisors, whose sum is σ = 10042221312. Its totient is φ = 10042221310.

The previous prime is 10042221271. The next prime is 10042221341. The reversal of 10042221311 is 11312224001.

10042221311 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 is a cyclic number.

It is not a de Polignac number, because 10042221311 - 214 = 10042204927 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10042221311.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10042221341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5021110655 + 5021110656.

It is an arithmetic number, because the mean of its divisors is an integer number (5021110656).

Almost surely, 210042221311 is an apocalyptic number.

10042221311 is a deficient number, since it is larger than the sum of its proper divisors (1).

10042221311 is an equidigital number, since it uses as much as digits as its factorization.

10042221311 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 17.

Adding to 10042221311 its reverse (11312224001), we get a palindrome (21354445312).

The spelling of 10042221311 in words is "ten billion, forty-two million, two hundred twenty-one thousand, three hundred eleven".