Search a number
-
+
12420201101 = 711533043421
BaseRepresentation
bin10111001000100110…
…10011101010001101
31012001120210120220012
423210103103222031
5200414032413401
65412240003005
7616532652560
oct134423235215
935046716805
1012420201101
1152a3974a10
1224a7600465
13122c229c29
1485b7604d7
154ca5c48bb
hex2e44d3a8d

12420201101 has 16 divisors (see below), whose sum is σ = 15777099648. Its totient is φ = 9495470400.

The previous prime is 12420201083. The next prime is 12420201109. The reversal of 12420201101 is 10110202421.

It is a happy number.

12420201101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12420201101 is a prime.

It is a super-2 number, since 2×124202011012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12420201109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1517630 + ... + 1525791.

It is an arithmetic number, because the mean of its divisors is an integer number (986068728).

Almost surely, 212420201101 is an apocalyptic number.

12420201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12420201101 is a deficient number, since it is larger than the sum of its proper divisors (3356898547).

12420201101 is a wasteful number, since it uses less digits than its factorization.

12420201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043492.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12420201101 its reverse (10110202421), we get a palindrome (22530403522).

The spelling of 12420201101 in words is "twelve billion, four hundred twenty million, two hundred one thousand, one hundred one".

Divisors: 1 7 11 53 77 371 583 4081 3043421 21303947 33477631 161301313 234343417 1129109191 1774314443 12420201101