Search a number
-
+
114122022231 = 3743129797441
BaseRepresentation
bin110101001001000110…
…0111101110101010111
3101220120100201101212010
41222102030331311113
53332210214202411
6124232114555303
711150023116660
oct1522214756527
9356510641763
10114122022231
11444429a7458
121a14b298b33
13a9b94a2b09
14574881c367
152e7de227a6
hex1a9233dd57

114122022231 has 32 divisors (see below), whose sum is σ = 178083440128. Its totient is φ = 63646248960.

The previous prime is 114122022191. The next prime is 114122022241. The reversal of 114122022231 is 132220221411.

It is a happy number.

It is not a de Polignac number, because 114122022231 - 27 = 114122022103 is a prime.

It is a super-2 number, since 2×1141220222312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114122022198 and 114122022207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114122022241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1122471 + ... + 1219911.

It is an arithmetic number, because the mean of its divisors is an integer number (5565107504).

Almost surely, 2114122022231 is an apocalyptic number.

114122022231 is a deficient number, since it is larger than the sum of its proper divisors (63961417897).

114122022231 is a wasteful number, since it uses less digits than its factorization.

114122022231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98791.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 114122022231 its reverse (132220221411), we get a palindrome (246342243642).

The spelling of 114122022231 in words is "one hundred fourteen billion, one hundred twenty-two million, twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 7 21 43 129 301 903 1297 3891 9079 27237 55771 97441 167313 292323 390397 682087 1171191 2046261 4189963 12569889 29329741 87989223 126380977 379142931 884666839 2654000517 5434382011 16303146033 38040674077 114122022231