Search a number
-
+
105032153040433 is a prime number
BaseRepresentation
bin10111111000011010110100…
…001011000000011000110001
3111202212222100100001100022021
4113320122310023000120301
5102231321322134243213
61011215034402311441
731060215444220153
oct2770326413003061
9452788310040267
10105032153040433
1130514982232923
12b943b27658581
13467b649671408
141bd1824938ad3
15c221d9b5cd8d
hex5f86b42c0631

105032153040433 has 2 divisors, whose sum is σ = 105032153040434. Its totient is φ = 105032153040432.

The previous prime is 105032153040427. The next prime is 105032153040439. The reversal of 105032153040433 is 334040351230501.

It is a balanced prime because it is at equal distance from previous prime (105032153040427) and next prime (105032153040439).

It can be written as a sum of positive squares in only one way, i.e., 76288904859904 + 28743248180529 = 8734352^2 + 5361273^2 .

It is a cyclic number.

It is not a de Polignac number, because 105032153040433 - 241 = 102833129784881 is a prime.

It is a super-2 number, since 2×1050321530404332 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105032153040439) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52516076520216 + 52516076520217.

It is an arithmetic number, because the mean of its divisors is an integer number (52516076520217).

Almost surely, 2105032153040433 is an apocalyptic number.

It is an amenable number.

105032153040433 is a deficient number, since it is larger than the sum of its proper divisors (1).

105032153040433 is an equidigital number, since it uses as much as digits as its factorization.

105032153040433 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64800, while the sum is 34.

The spelling of 105032153040433 in words is "one hundred five trillion, thirty-two billion, one hundred fifty-three million, forty thousand, four hundred thirty-three".