Search a number
-
+
114121024121 = 1361281512137
BaseRepresentation
bin110101001001000100…
…1001010001001111001
3101220120021211200201002
41222102021022021321
53332204440232441
6124232041334345
711150011462016
oct1522211121171
9356507750632
10114121024121
1144442385575
121a14aa973b5
13a9b9213710
14574863c70d
152e7dcc6b9b
hex1a9224a279

114121024121 has 16 divisors (see below), whose sum is σ = 125359091088. Its totient is φ = 103246617600.

The previous prime is 114121024109. The next prime is 114121024151. The reversal of 114121024121 is 121420121411.

It can be written as a sum of positive squares in 8 ways, for example, as 5310765625 + 108810258496 = 72875^2 + 329864^2 .

It is a cyclic number.

It is not a de Polignac number, because 114121024121 - 222 = 114116829817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114121024093 and 114121024102.

It is not an unprimeable number, because it can be changed into a prime (114121024151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33236 + ... + 478901.

It is an arithmetic number, because the mean of its divisors is an integer number (7834943193).

Almost surely, 2114121024121 is an apocalyptic number.

It is an amenable number.

114121024121 is a deficient number, since it is larger than the sum of its proper divisors (11238066967).

114121024121 is a wasteful number, since it uses less digits than its factorization.

114121024121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512492.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 114121024121 its reverse (121420121411), we get a palindrome (235541145532).

The spelling of 114121024121 in words is "one hundred fourteen billion, one hundred twenty-one million, twenty-four thousand, one hundred twenty-one".

Divisors: 1 13 61 281 793 3653 17141 222833 512137 6657781 31240357 143910497 406124641 1870836461 8778540317 114121024121