Search a number
-
+
122505101441 = 261767196967
BaseRepresentation
bin111001000010111011…
…1111000000010000001
3102201012120221221122022
41302011313320002001
54001342301221231
6132140021251225
711564535116102
oct1620567700201
9381176857568
10122505101441
1147a54a32998
121b8aa863b15
13b7241b1808
145d01d243a9
1532bed8cc7b
hex1c85df8081

122505101441 has 8 divisors (see below), whose sum is σ = 122587745280. Its totient is φ = 122422490208.

The previous prime is 122505101401. The next prime is 122505101449. The reversal of 122505101441 is 144101505221.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 122505101441 - 26 = 122505101377 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 122505101441.

It is not an unprimeable number, because it can be changed into a prime (122505101449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17580140 + ... + 17587106.

It is an arithmetic number, because the mean of its divisors is an integer number (15323468160).

Almost surely, 2122505101441 is an apocalyptic number.

It is an amenable number.

122505101441 is a deficient number, since it is larger than the sum of its proper divisors (82643839).

122505101441 is an equidigital number, since it uses as much as digits as its factorization.

122505101441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16303.

The product of its (nonzero) digits is 1600, while the sum is 26.

Adding to 122505101441 its reverse (144101505221), we get a palindrome (266606606662).

The spelling of 122505101441 in words is "one hundred twenty-two billion, five hundred five million, one hundred one thousand, four hundred forty-one".

Divisors: 1 2617 6719 6967 17583623 18232639 46811273 122505101441