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10334342401 is a prime number
BaseRepresentation
bin10011001111111100…
…11000110100000001
3222200012212222200021
421213332120310001
5132131042424101
64425244453441
7514044314065
oct114776306401
928605788607
1010334342401
114423515449
122004b4a281
13c89050906
14700715aa5
154074025a1
hex267f98d01

10334342401 has 2 divisors, whose sum is σ = 10334342402. Its totient is φ = 10334342400.

The previous prime is 10334342353. The next prime is 10334342477. The reversal of 10334342401 is 10424343301.

10334342401 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., 6822594801 + 3511747600 = 82599^2 + 59260^2 .

It is a cyclic number.

It is not a de Polignac number, because 10334342401 - 213 = 10334334209 is a prime.

It is a super-2 number, since 2×103343424012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10334342701) 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, 5167171200 + 5167171201.

It is an arithmetic number, because the mean of its divisors is an integer number (5167171201).

Almost surely, 210334342401 is an apocalyptic number.

It is an amenable number.

10334342401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10334342401 is an equidigital number, since it uses as much as digits as its factorization.

10334342401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 10334342401 its reverse (10424343301), we get a palindrome (20758685702).

It can be divided in two parts, 1033 and 4342401, that added together give a palindrome (4343434).

The spelling of 10334342401 in words is "ten billion, three hundred thirty-four million, three hundred forty-two thousand, four hundred one".