Search a number
-
+
114523105021 = 1326053111953
BaseRepresentation
bin110101010101000011…
…0111110011011111101
3101221121022102112000021
41222222012332123331
53334020403330041
6124340003332141
711162663221363
oct1525206763375
9357538375007
10114523105021
1144629341936
121a241681051
13aa51603200
145785bc5633
152ea424bcd1
hex1aaa1be6fd

114523105021 has 12 divisors (see below), whose sum is σ = 124031821428. Its totient is φ = 105695226624.

The previous prime is 114523105019. The next prime is 114523105061. The reversal of 114523105021 is 120501325411.

It can be written as a sum of positive squares in 6 ways, for example, as 58218933796 + 56304171225 = 241286^2 + 237285^2 .

It is not a de Polignac number, because 114523105021 - 21 = 114523105019 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114523105061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 966981 + ... + 1078933.

It is an arithmetic number, because the mean of its divisors is an integer number (10335985119).

Almost surely, 2114523105021 is an apocalyptic number.

It is an amenable number.

114523105021 is a deficient number, since it is larger than the sum of its proper divisors (9508716407).

114523105021 is a wasteful number, since it uses less digits than its factorization.

114523105021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118032 (or 118019 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The spelling of 114523105021 in words is "one hundred fourteen billion, five hundred twenty-three million, one hundred five thousand, twenty-one".

Divisors: 1 13 169 6053 78689 111953 1022957 1455389 18920057 677651509 8809469617 114523105021