Search a number
-
+
13220131122 = 2331122023283
BaseRepresentation
bin11000100111111101…
…10011000100110010
31021010100000020121000
430103332303010302
5204033323143442
610023453142430
7645415155222
oct142376630462
937110006530
1013220131122
115674468200
12268b48aa16
131328b86cc3
148d5aac082
15525935d4c
hex313fb3132

13220131122 has 48 divisors (see below), whose sum is σ = 32291612640. Its totient is φ = 4006098360.

The previous prime is 13220131109. The next prime is 13220131147. The reversal of 13220131122 is 22113102231.

13220131122 is a `hidden beast` number, since 132 + 201 + 311 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13220131095 and 13220131104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1005108 + ... + 1018175.

It is an arithmetic number, because the mean of its divisors is an integer number (672741930).

Almost surely, 213220131122 is an apocalyptic number.

13220131122 is an abundant number, since it is smaller than the sum of its proper divisors (19071481518).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13220131122 is a wasteful number, since it uses less digits than its factorization.

13220131122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023316 (or 2023299 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13220131122 its reverse (22113102231), we get a palindrome (35333233353).

The spelling of 13220131122 in words is "thirteen billion, two hundred twenty million, one hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 2178 3267 6534 2023283 4046566 6069849 12139698 18209547 22256113 36419094 44512226 54628641 66768339 109257282 133536678 200305017 244817243 400610034 489634486 600915051 734451729 1201830102 1468903458 2203355187 4406710374 6610065561 13220131122