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112020122133 = 32177322814397
BaseRepresentation
bin110100001010011101…
…0110110101000010101
3101201010212121210222100
41220110322312220111
53313404122402013
6123243351552313
711043651220233
oct1502472665025
9351125553870
10112020122133
1143564490837
121986338b699
13a742b9b14a
1455c95d9953
152da9632473
hex1a14eb6a15

112020122133 has 48 divisors (see below), whose sum is σ = 173787462576. Its totient is φ = 69278146560.

The previous prime is 112020122113. The next prime is 112020122171. The reversal of 112020122133 is 331221020211.

It can be written as a sum of positive squares in 8 ways, for example, as 5455742769 + 106564379364 = 73863^2 + 326442^2 .

It is not a de Polignac number, because 112020122133 - 216 = 112020056597 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112020122113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25474291 + ... + 25478687.

It is an arithmetic number, because the mean of its divisors is an integer number (3620572137).

Almost surely, 2112020122133 is an apocalyptic number.

It is an amenable number.

112020122133 is a deficient number, since it is larger than the sum of its proper divisors (61767340443).

112020122133 is a wasteful number, since it uses less digits than its factorization.

112020122133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6774 (or 6771 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112020122133 its reverse (331221020211), we get a palindrome (443241142344).

The spelling of 112020122133 in words is "one hundred twelve billion, twenty million, one hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 17 51 73 153 219 657 1241 2281 3723 4397 6843 11169 13191 20529 38777 39573 74749 116331 166513 224247 320981 348993 499539 672741 962943 1498617 2830721 2888829 5456677 8492163 10029557 16370031 25476489 30088671 49110093 90266013 170502469 511507407 732157661 1534522221 2196472983 6589418949 12446680237 37340040711 112020122133