Search a number
-
+
201112121033021 = 1121938611832357
BaseRepresentation
bin101101101110100100010000…
…100010001100000100111101
3222101002010112111120002202002
4231232210100202030010331
5202330010110441024041
61551421344414512045
760234604561161662
oct5556442042140475
9871063474502662
10201112121033021
1159098198382900
121a680a62505625
13882aa3a2c7b33
143793c42c13a69
15183b5c3c1c59b
hexb6e91088c13d

201112121033021 has 12 divisors (see below), whose sum is σ = 222202498501116. Its totient is φ = 181881899358720.

The previous prime is 201112121032939. The next prime is 201112121033071. The reversal of 201112121033021 is 120330121211102.

It can be written as a sum of positive squares in 2 ways, for example, as 53670114828121 + 147442006204900 = 7325989^2 + 12142570^2 .

It is a de Polignac number, because none of the positive numbers 2k-201112121033021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201112121032984 and 201112121033002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201112121033071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4305892826 + ... + 4305939531.

It is an arithmetic number, because the mean of its divisors is an integer number (18516874875093).

Almost surely, 2201112121033021 is an apocalyptic number.

It is an amenable number.

201112121033021 is a deficient number, since it is larger than the sum of its proper divisors (21090377468095).

201112121033021 is a wasteful number, since it uses less digits than its factorization.

201112121033021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8611832572 (or 8611832561 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 201112121033021 its reverse (120330121211102), we get a palindrome (321442242244123).

The spelling of 201112121033021 in words is "two hundred one trillion, one hundred twelve billion, one hundred twenty-one million, thirty-three thousand, twenty-one".

Divisors: 1 11 121 193 2123 23353 8611832357 94730155927 1042031715197 1662083644901 18282920093911 201112121033021