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10144274033 is a prime number
BaseRepresentation
bin10010111001010010…
…10101011001110001
3222011222020111220002
421130221111121301
5131233413232113
64354334555345
7506245622645
oct113451253161
928158214802
1010144274033
1143361a6253
121b71368b55
13c5886301a
146c339ac25
153e58aac58
hex25ca55671

10144274033 has 2 divisors, whose sum is σ = 10144274034. Its totient is φ = 10144274032.

The previous prime is 10144274003. The next prime is 10144274087. The reversal of 10144274033 is 33047244101.

10144274033 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., 6898465249 + 3245808784 = 83057^2 + 56972^2 .

It is a cyclic number.

It is not a de Polignac number, because 10144274033 - 26 = 10144273969 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10144273987 and 10144274005.

It is not a weakly prime, because it can be changed into another prime (10144274003) 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, 5072137016 + 5072137017.

It is an arithmetic number, because the mean of its divisors is an integer number (5072137017).

Almost surely, 210144274033 is an apocalyptic number.

It is an amenable number.

10144274033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10144274033 is an equidigital number, since it uses as much as digits as its factorization.

10144274033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 29.

The spelling of 10144274033 in words is "ten billion, one hundred forty-four million, two hundred seventy-four thousand, thirty-three".