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2122112133 = 32235790237
BaseRepresentation
bin111111001111100…
…1101110010000101
312110220010110120200
41332133031302011
513321230042013
6550324121113
7103405440561
oct17637156205
95426113520
102122112133
11999971289
124b2836199
1327a86076b
14161ba46a1
15c6483e73
hex7e7cdc85

2122112133 has 6 divisors (see below), whose sum is σ = 3065273094. Its totient is φ = 1414741416.

The previous prime is 2122112131. The next prime is 2122112137. The reversal of 2122112133 is 3312112212.

It can be written as a sum of positive squares in only one way, i.e., 2119497444 + 2614689 = 46038^2 + 1617^2 .

It is not a de Polignac number, because 2122112133 - 21 = 2122112131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122112131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 117895110 + ... + 117895127.

It is an arithmetic number, because the mean of its divisors is an integer number (510878849).

Almost surely, 22122112133 is an apocalyptic number.

It is an amenable number.

2122112133 is a deficient number, since it is larger than the sum of its proper divisors (943160961).

2122112133 is a wasteful number, since it uses less digits than its factorization.

2122112133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235790243 (or 235790240 counting only the distinct ones).

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

The square root of 2122112133 is about 46066.3883216386. The cubic root of 2122112133 is about 1285.0581376392.

Adding to 2122112133 its reverse (3312112212), we get a palindrome (5434224345).

The spelling of 2122112133 in words is "two billion, one hundred twenty-two million, one hundred twelve thousand, one hundred thirty-three".

Divisors: 1 3 9 235790237 707370711 2122112133