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2122133013234 = 232139068944501
BaseRepresentation
bin11110111000011000111…
…111000000001011110010
321111212121002122202112200
4132320120333000023302
5234232112022410414
64302521111204030
7306214301662653
oct36703077001362
97455532582480
102122133013234
11748a9a842363
122a334a076616
13125168627c40
14749d71d752a
153a30536c109
hex1ee18fc02f2

2122133013234 has 24 divisors (see below), whose sum is σ = 4951643698092. Its totient is φ = 652964004000.

The previous prime is 2122133013193. The next prime is 2122133013289. The reversal of 2122133013234 is 4323103312212.

2122133013234 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 1 + 330 + 1 + 323 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2047031255025 + 75101758209 = 1430745^2 + 274047^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2122133013198 and 2122133013207.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4534472017 + ... + 4534472484.

Almost surely, 22122133013234 is an apocalyptic number.

2122133013234 is an abundant number, since it is smaller than the sum of its proper divisors (2829510684858).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2122133013234 is a wasteful number, since it uses less digits than its factorization.

2122133013234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9068944522 (or 9068944519 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2122133013234 its reverse (4323103312212), we get a palindrome (6445236325446).

The spelling of 2122133013234 in words is "two trillion, one hundred twenty-two billion, one hundred thirty-three million, thirteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 9068944501 18137889002 27206833503 54413667006 81620500509 117896278513 163241001018 235792557026 353688835539 707377671078 1061066506617 2122133013234