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10034440033 is a prime number
BaseRepresentation
bin10010101100001100…
…10110011101100001
3221220022120100222011
421112012112131201
5131022304040113
64335412512521
7503443222132
oct112606263541
927808510864
1010034440033
11428a1a8352
121b4061b741
13c3bb883a7
146b2969c89
153dae1263d
hex256196761

10034440033 has 2 divisors, whose sum is σ = 10034440034. Its totient is φ = 10034440032.

The previous prime is 10034440007. The next prime is 10034440051. The reversal of 10034440033 is 33004443001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8878915984 + 1155524049 = 94228^2 + 33993^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10034440033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10034439986 and 10034440013.

It is not a weakly prime, because it can be changed into another prime (10034440063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5017220016 + 5017220017.

It is an arithmetic number, because the mean of its divisors is an integer number (5017220017).

Almost surely, 210034440033 is an apocalyptic number.

It is an amenable number.

10034440033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10034440033 is an equidigital number, since it uses as much as digits as its factorization.

10034440033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 10034440033 its reverse (33004443001), we get a palindrome (43038883034).

The spelling of 10034440033 in words is "ten billion, thirty-four million, four hundred forty thousand, thirty-three".