Search a number
-
+
113323211301 = 317891091132027
BaseRepresentation
bin110100110001010010…
…1101111101000100101
3101211111200121121021010
41221202211233220211
53324041220230201
6124020541412433
711121153255066
oct1514245575045
9354450547233
10113323211301
1144072aa8a33
1219b6786a119
13a8bcb48221
1456b06c256d
152e33c32bd6
hex1a6296fa25

113323211301 has 64 divisors (see below), whose sum is σ = 164793657600. Its totient is φ = 69010292736.

The previous prime is 113323211299. The next prime is 113323211311. The reversal of 113323211301 is 103112323311.

It is a happy number.

It is not a de Polignac number, because 113323211301 - 21 = 113323211299 is a prime.

It is a super-2 number, since 2×1133232113012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113323211311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55905850 + ... + 55907876.

It is an arithmetic number, because the mean of its divisors is an integer number (2574900900).

Almost surely, 2113323211301 is an apocalyptic number.

It is an amenable number.

113323211301 is a deficient number, since it is larger than the sum of its proper divisors (51470446299).

113323211301 is a wasteful number, since it uses less digits than its factorization.

113323211301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 113323211301 its reverse (103112323311), we get a palindrome (216435534612).

The spelling of 113323211301 in words is "one hundred thirteen billion, three hundred twenty-three million, two hundred eleven thousand, three hundred one".

Divisors: 1 3 17 51 89 109 113 267 327 339 1513 1853 1921 2027 4539 5559 5763 6081 9701 10057 12317 29103 30171 34459 36951 103377 164917 170969 180403 209389 220943 229051 494751 512907 541209 628167 662829 687153 1096213 3066851 3288639 3756031 3893867 9200553 11268093 11681601 18635621 19663927 20385539 24966559 55906863 58991781 61156617 74899677 334286759 346554163 424431503 1002860277 1039662489 1273294509 2222023751 6666071253 37774403767 113323211301