Search a number
-
+
114525110331 = 342256762653
BaseRepresentation
bin110101010101000111…
…0101000000000111011
3101221121110012101210000
41222222032220000323
53334021412012311
6124340114324043
711163016242642
oct1525216500073
9357543171700
10114525110331
114462a491515
121a242289623
13aa51b55b98
145786188359
152ea44e6056
hex1aaa3a803b

114525110331 has 20 divisors (see below), whose sum is σ = 171091032112. Its totient is φ = 76345471728.

The previous prime is 114525110321. The next prime is 114525110341. The reversal of 114525110331 is 133011525411.

114525110331 is a `hidden beast` number, since 1 + 1 + 4 + 525 + 1 + 103 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (114525110321) and next prime (114525110341).

It is not a de Polignac number, because 114525110331 - 25 = 114525110299 is a prime.

It is a super-2 number, since 2×1145251103312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114525110295 and 114525110304.

It is not an unprimeable number, because it can be changed into a prime (114525110311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1796601 + ... + 1859253.

Almost surely, 2114525110331 is an apocalyptic number.

114525110331 is a deficient number, since it is larger than the sum of its proper divisors (56565921781).

114525110331 is an equidigital number, since it uses as much as digits as its factorization.

114525110331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85232 (or 85223 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 114525110331 its reverse (133011525411), we get a palindrome (247536635742).

The spelling of 114525110331 in words is "one hundred fourteen billion, five hundred twenty-five million, one hundred ten thousand, three hundred thirty-one".

Divisors: 1 3 9 27 81 22567 62653 67701 187959 203103 563877 609309 1691631 1827927 5074893 1413890251 4241670753 12725012259 38175036777 114525110331