Search a number
-
+
1132020342321 = 311738910634967
BaseRepresentation
bin10000011110010001101…
…010111001111000110001
311000012221102222200202020
4100132101222321320301
5122021334201423241
62224013140342053
7144533343101151
oct20362152717061
94005842880666
101132020342321
113a70a5a76120
121634873a4929
13829978ba8ab
143cb0bd84761
151e6a6b59b66
hex10791ab9e31

1132020342321 has 64 divisors (see below), whose sum is σ = 1689813135360. Its totient is φ = 668307594240.

The previous prime is 1132020342311. The next prime is 1132020342337. The reversal of 1132020342321 is 1232430202311.

It is not a de Polignac number, because 1132020342321 - 213 = 1132020334129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1132020342291 and 1132020342300.

It is not an unprimeable number, because it can be changed into a prime (1132020342311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227905780 + ... + 227910746.

It is an arithmetic number, because the mean of its divisors is an integer number (26403330240).

Almost surely, 21132020342321 is an apocalyptic number.

1132020342321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1132020342321 is a deficient number, since it is larger than the sum of its proper divisors (557792793039).

1132020342321 is a wasteful number, since it uses less digits than its factorization.

1132020342321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6206.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1132020342321 its reverse (1232430202311), we get a palindrome (2364450544632).

The spelling of 1132020342321 in words is "one trillion, one hundred thirty-two billion, twenty million, three hundred forty-two thousand, three hundred twenty-one".

Divisors: 1 3 11 33 73 89 219 267 803 979 1063 2409 2937 3189 4967 6497 11693 14901 19491 35079 54637 71467 77599 94607 163911 214401 232797 283821 362591 442063 853589 1040677 1087773 1326189 2560767 3122031 3988501 4862693 5279921 6906311 11965503 14588079 15839763 20718933 32270599 58079131 75969421 96811797 174237393 227908263 354976589 385434233 469912969 1064929767 1156302699 1409738907 4239776563 5169042659 12719329689 15507127977 34303646737 102910940211 377340114107 1132020342321