Search a number
-
+
122643661041 = 32112834377473
BaseRepresentation
bin111001000111000100…
…0011100000011110001
3102201120020200111200100
41302032020130003301
54002133234123131
6132201451143013
711601136626666
oct1621610340361
9381506614610
10122643661041
1148016170860
121b929144a69
13b746b06345
145d164b1a6d
1532cc10c7e6
hex1c8e21c0f1

122643661041 has 24 divisors (see below), whose sum is σ = 193939608096. Its totient is φ = 74066826240.

The previous prime is 122643661033. The next prime is 122643661163. The reversal of 122643661041 is 140166346221.

122643661041 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 4 + 36 + 610 + 4 + 1 = 666.

It is not a de Polignac number, because 122643661041 - 23 = 122643661033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122643660987 and 122643661005.

It is not an unprimeable number, because it can be changed into a prime (122643661741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2160720 + ... + 2216753.

It is an arithmetic number, because the mean of its divisors is an integer number (8080817004).

Almost surely, 2122643661041 is an apocalyptic number.

122643661041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122643661041 is a deficient number, since it is larger than the sum of its proper divisors (71295947055).

122643661041 is a wasteful number, since it uses less digits than its factorization.

122643661041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4377773 (or 4377770 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 122643661041 in words is "one hundred twenty-two billion, six hundred forty-three million, six hundred sixty-one thousand, forty-one".

Divisors: 1 3 9 11 33 99 283 849 2547 3113 9339 28017 4377473 13132419 39397257 48152203 144456609 433369827 1238824859 3716474577 11149423731 13627073449 40881220347 122643661041