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42211110401 is a prime number
BaseRepresentation
bin100111010011111110…
…100110111000000001
311000221202122120202022
4213103332212320001
51142422021013101
631220322331225
73023013342545
oct472376467001
9130852576668
1042211110401
11169a1087009
1282204b9b15
133c991a4005
1420860dba25
151170b9aa1b
hex9d3fa6e01

42211110401 has 2 divisors, whose sum is σ = 42211110402. Its totient is φ = 42211110400.

The previous prime is 42211110379. The next prime is 42211110443. The reversal of 42211110401 is 10401111224.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28198469776 + 14012640625 = 167924^2 + 118375^2 .

It is a cyclic number.

It is not a de Polignac number, because 42211110401 - 218 = 42210848257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42211110401.

It is not a weakly prime, because it can be changed into another prime (42211110301) 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, 21105555200 + 21105555201.

It is an arithmetic number, because the mean of its divisors is an integer number (21105555201).

Almost surely, 242211110401 is an apocalyptic number.

It is an amenable number.

42211110401 is a deficient number, since it is larger than the sum of its proper divisors (1).

42211110401 is an equidigital number, since it uses as much as digits as its factorization.

42211110401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 42211110401 its reverse (10401111224), we get a palindrome (52612221625).

The spelling of 42211110401 in words is "forty-two billion, two hundred eleven million, one hundred ten thousand, four hundred one".