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114051007121 = 294195921789
BaseRepresentation
bin110101000110111111…
…0000100001010010001
3101220101102002110102212
41222031332010022101
53332034024211441
6124221100521505
711145201364562
oct1521576041221
9356342073385
10114051007121
1144406902787
121a12b550295
13a9a786a23c
14573d214169
152e77a95eeb
hex1a8df84291

114051007121 has 8 divisors (see below), whose sum is σ = 120861455400. Its totient is φ = 107432402560.

The previous prime is 114051007019. The next prime is 114051007127. The reversal of 114051007121 is 121700150411.

It can be written as a sum of positive squares in 4 ways, for example, as 708358225 + 113342648896 = 26615^2 + 336664^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114051007121 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (114051007127) 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 7 ways as a sum of consecutive naturals, for example, 47959706 + ... + 47962083.

It is an arithmetic number, because the mean of its divisors is an integer number (15107681925).

Almost surely, 2114051007121 is an apocalyptic number.

It is an amenable number.

114051007121 is a deficient number, since it is larger than the sum of its proper divisors (6810448279).

114051007121 is an equidigital number, since it uses as much as digits as its factorization.

114051007121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95921859.

The product of its (nonzero) digits is 280, while the sum is 23.

Adding to 114051007121 its reverse (121700150411), we get a palindrome (235751157532).

The spelling of 114051007121 in words is "one hundred fourteen billion, fifty-one million, seven thousand, one hundred twenty-one".

Divisors: 1 29 41 1189 95921789 2781731881 3932793349 114051007121