Search a number
-
+
12020120101 = 114179337369
BaseRepresentation
bin10110011000111010…
…00111101000100101
31011000200222100221101
423030131013220211
5144104122320401
65304424520101
7603604222633
oct131435075045
934020870841
1012020120101
115109054160
1223b5620031
13119738a802
14820578353
154a53e7101
hex2cc747a25

12020120101 has 16 divisors (see below), whose sum is σ = 13602758400. Its totient is φ = 10525881600.

The previous prime is 12020120093. The next prime is 12020120149. The reversal of 12020120101 is 10102102021.

12020120101 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 not a de Polignac number, because 12020120101 - 23 = 12020120093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020120171) 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, 133056 + ... + 204313.

It is an arithmetic number, because the mean of its divisors is an integer number (850172400).

Almost surely, 212020120101 is an apocalyptic number.

12020120101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12020120101 is a deficient number, since it is larger than the sum of its proper divisors (1582638299).

12020120101 is a wasteful number, since it uses less digits than its factorization.

12020120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337500.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12020120101 its reverse (10102102021), we get a palindrome (22122222122).

The spelling of 12020120101 in words is "twelve billion, twenty million, one hundred twenty thousand, one hundred one".

Divisors: 1 11 41 79 451 869 3239 35629 337369 3711059 13832129 26652151 152153419 293173661 1092738191 12020120101