Search a number
-
+
10435045331 is a prime number
BaseRepresentation
bin10011011011111101…
…00010011111010011
3222221020101020010102
421231332202133103
5132332332422311
64443243123015
7516406264454
oct115576423723
928836336112
1010435045331
114475347007
12203281346b
13ca3b7c349
1470dc4b12b
1541119543b
hex26dfa27d3

10435045331 has 2 divisors, whose sum is σ = 10435045332. Its totient is φ = 10435045330.

The previous prime is 10435045319. The next prime is 10435045343. The reversal of 10435045331 is 13354053401.

It is a balanced prime because it is at equal distance from previous prime (10435045319) and next prime (10435045343).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10435045331 is a prime.

It is a super-3 number, since 3×104350453313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 10435045294 and 10435045303.

It is not a weakly prime, because it can be changed into another prime (10435845331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5217522665 + 5217522666.

It is an arithmetic number, because the mean of its divisors is an integer number (5217522666).

Almost surely, 210435045331 is an apocalyptic number.

10435045331 is a deficient number, since it is larger than the sum of its proper divisors (1).

10435045331 is an equidigital number, since it uses as much as digits as its factorization.

10435045331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 10435045331 its reverse (13354053401), we get a palindrome (23789098732).

The spelling of 10435045331 in words is "ten billion, four hundred thirty-five million, forty-five thousand, three hundred thirty-one".