Search a number
-
+
114123112131 = 3717983325201
BaseRepresentation
bin110101001001001000…
…1000111111011000011
3101220120102202202220210
41222102101013323003
53332211004042011
6124232154205203
711150035306350
oct1522221077303
9356512682823
10114123112131
11444435812a6
121a14b723803
13a9b9794c22
145748a23627
152e7e08a6a6
hex1a92447ec3

114123112131 has 32 divisors (see below), whose sum is σ = 184319290368. Its totient is φ = 61314508800.

The previous prime is 114123112121. The next prime is 114123112133. The reversal of 114123112131 is 131211321411.

It is a happy number.

It is not a de Polignac number, because 114123112131 - 26 = 114123112067 is a prime.

It is a super-2 number, since 2×1141231121312 (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 junction number, because it is equal to n+sod(n) for n = 114123112098 and 114123112107.

It is not an unprimeable number, because it can be changed into a prime (114123112133) 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, 188331 + ... + 513531.

It is an arithmetic number, because the mean of its divisors is an integer number (5759977824).

Almost surely, 2114123112131 is an apocalyptic number.

114123112131 is a deficient number, since it is larger than the sum of its proper divisors (70196178237).

114123112131 is a wasteful number, since it uses less digits than its factorization.

114123112131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326211.

The product of its digits is 144, while the sum is 21.

Adding to 114123112131 its reverse (131211321411), we get a palindrome (245334433542).

The spelling of 114123112131 in words is "one hundred fourteen billion, one hundred twenty-three million, one hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 7 17 21 51 119 357 983 2949 6881 16711 20643 50133 116977 325201 350931 975603 2276407 5528417 6829221 16585251 38698919 116096757 319672583 959017749 2237708081 5434433911 6713124243 16303301733 38041037377 114123112131