Search a number
-
+
122442114421 = 11223316572621
BaseRepresentation
bin111001000001000011…
…1100110010101110101
3102201001012102212200201
41302002013212111311
54001230140130141
6132125451240501
711563141541344
oct1620207462565
9381035385621
10122442114421
1147a22421900
121b891749131
13b71412a0a3
145cd7809b5b
1532b959a031
hex1c821e6575

122442114421 has 24 divisors (see below), whose sum is σ = 135295923672. Its totient is φ = 110724134400.

The previous prime is 122442114401. The next prime is 122442114449. The reversal of 122442114421 is 124411244221.

It can be written as a sum of positive squares in 4 ways, for example, as 11895174225 + 110546940196 = 109065^2 + 332486^2 .

It is a de Polignac number, because none of the positive numbers 2k-122442114421 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122442114421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122442114401) 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, 46714491 + ... + 46717111.

It is an arithmetic number, because the mean of its divisors is an integer number (5637330153).

Almost surely, 2122442114421 is an apocalyptic number.

122442114421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122442114421 is a deficient number, since it is larger than the sum of its proper divisors (12853809251).

122442114421 is a wasteful number, since it uses less digits than its factorization.

122442114421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4533 (or 4522 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

Adding to 122442114421 its reverse (124411244221), we get a palindrome (246853358642).

The spelling of 122442114421 in words is "one hundred twenty-two billion, four hundred forty-two million, one hundred fourteen thousand, four hundred twenty-one".

Divisors: 1 11 121 233 1657 2563 2621 18227 28193 28831 200497 317141 386081 610693 4246891 4342997 6717623 46715801 47772967 73893853 525502637 1011918301 11131101311 122442114421