Search a number
-
+
1052005045133 = 72122917469073
BaseRepresentation
bin11110100111100000110…
…00110001001110001101
310201120102001002102221202
433103300120301032031
5114214001242421013
62123141235035245
7136001444225300
oct17236030611615
93646361072852
101052005045133
11376175471039
1214ba7643bb25
137828555b0b3
1438cbb186b37
151c572168858
hexf4f063138d

1052005045133 has 12 divisors (see below), whose sum is σ = 1224756778140. Its totient is φ = 900984857472.

The previous prime is 1052005045109. The next prime is 1052005045141. The reversal of 1052005045133 is 3315405002501.

1052005045133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1018238410084 + 33766635049 = 1009078^2 + 183757^2 .

It is not a de Polignac number, because 1052005045133 - 212 = 1052005041037 is a prime.

It is a super-2 number, since 2×10520050451332 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1052005045096 and 1052005045105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052005045163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8674316 + ... + 8794757.

It is an arithmetic number, because the mean of its divisors is an integer number (102063064845).

Almost surely, 21052005045133 is an apocalyptic number.

It is an amenable number.

1052005045133 is a deficient number, since it is larger than the sum of its proper divisors (172751733007).

1052005045133 is a wasteful number, since it uses less digits than its factorization.

1052005045133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17470316 (or 17470309 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The spelling of 1052005045133 in words is "one trillion, fifty-two billion, five million, forty-five thousand, one hundred thirty-three".

Divisors: 1 7 49 1229 8603 60221 17469073 122283511 855984577 21469490717 150286435019 1052005045133