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2322133242341 = 112101337661853
BaseRepresentation
bin100001110010101001111…
…011010101000111100101
322012222211110101002022112
4201302221323111013211
5301021212102223331
64534435010210405
7326524424612633
oct41625173250745
98188743332275
102322133242341
118158a174a700
12316065883a05
1313ac8c9c7483
148056b338353
154060d83932b
hex21ca9ed51e5

2322133242341 has 48 divisors (see below), whose sum is σ = 2592294707184. Its totient is φ = 2078334720000.

The previous prime is 2322133242307. The next prime is 2322133242347. The reversal of 2322133242341 is 1432423312232.

It can be written as a sum of positive squares in 8 ways, for example, as 8114226241 + 2314019016100 = 90079^2 + 1521190^2 .

It is not a de Polignac number, because 2322133242341 - 214 = 2322133225957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2322133242298 and 2322133242307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2322133242347) 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, 2722312871 + ... + 2722313723.

It is an arithmetic number, because the mean of its divisors is an integer number (54006139733).

Almost surely, 22322133242341 is an apocalyptic number.

It is an amenable number.

2322133242341 is a deficient number, since it is larger than the sum of its proper divisors (270161464843).

2322133242341 is a wasteful number, since it uses less digits than its factorization.

2322133242341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1963 counting only the distinct ones).

The product of its digits is 41472, while the sum is 32.

Adding to 2322133242341 its reverse (1432423312232), we get a palindrome (3754556554573).

The spelling of 2322133242341 in words is "two trillion, three hundred twenty-two billion, one hundred thirty-three million, two hundred forty-two thousand, three hundred forty-one".

Divisors: 1 11 101 121 337 661 853 1111 3707 7271 9383 12221 34037 40777 66761 79981 86153 103213 222757 287461 374407 563833 734371 947683 2450327 3162071 4118477 6202163 8078081 10424513 22498457 26953597 29033561 34782781 56947133 68223793 190011721 247483027 319369171 626418463 2090128931 2722313297 3513060881 6890603093 19191183821 22991418241 211103022031 2322133242341