Search a number
-
+
10034107333 is a prime number
BaseRepresentation
bin10010101100001010…
…00101001111000101
3221220021221110120221
421112011011033011
5131022212413313
64335401424341
7503440335145
oct112605051705
927807843527
1010034107333
114289aa0398
121b4049b0b1
13c3ba9cb23
146b28c0925
153dad98c8d
hex2561453c5

10034107333 has 2 divisors, whose sum is σ = 10034107334. Its totient is φ = 10034107332.

The previous prime is 10034107289. The next prime is 10034107357. The reversal of 10034107333 is 33370143001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9071991009 + 962116324 = 95247^2 + 31018^2 .

It is a cyclic number.

It is not a de Polignac number, because 10034107333 - 29 = 10034106821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10034107298 and 10034107307.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10034107133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5017053666 + 5017053667.

It is an arithmetic number, because the mean of its divisors is an integer number (5017053667).

Almost surely, 210034107333 is an apocalyptic number.

It is an amenable number.

10034107333 is a deficient number, since it is larger than the sum of its proper divisors (1).

10034107333 is an equidigital number, since it uses as much as digits as its factorization.

10034107333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 25.

The spelling of 10034107333 in words is "ten billion, thirty-four million, one hundred seven thousand, three hundred thirty-three".