Search a number
-
+
1132140413201 = 713940115711847
BaseRepresentation
bin10000011110011000110…
…100111100000100010001
311000020020210220221000212
4100132120310330010101
5122022110421210301
62224033110053505
7144536331506060
oct20363064740421
94006223827025
101132140413201
113a7157826156
121634bb64a295
13829b673ab55
143cb1dcbc1d7
151e6b24764bb
hex10798d3c111

1132140413201 has 32 divisors (see below), whose sum is σ = 1307972413440. Its totient is φ = 959890464000.

The previous prime is 1132140413179. The next prime is 1132140413207. The reversal of 1132140413201 is 1023140412311.

It is a cyclic number.

It is not a de Polignac number, because 1132140413201 - 214 = 1132140396817 is a prime.

It is a super-3 number, since 3×11321404132013 (a number of 37 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1132140413207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612960860 + ... + 612962706.

It is an arithmetic number, because the mean of its divisors is an integer number (40874137920).

Almost surely, 21132140413201 is an apocalyptic number.

It is an amenable number.

1132140413201 is a deficient number, since it is larger than the sum of its proper divisors (175832000239).

1132140413201 is a wasteful number, since it uses less digits than its factorization.

1132140413201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3965.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 1132140413201 its reverse (1023140412311), we get a palindrome (2155280825512).

The spelling of 1132140413201 in words is "one trillion, one hundred thirty-two billion, one hundred forty million, four hundred thirteen thousand, two hundred one".

Divisors: 1 7 139 401 973 1571 1847 2807 10997 12929 55739 218369 256733 390173 629971 740647 1528583 1797131 2901637 4409797 5184529 20311459 87565969 102949933 403327543 612961783 720649531 1163556437 2823292801 8144895059 161734344743 1132140413201