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2122012433333 = 134126914800229
BaseRepresentation
bin11110111000010001110…
…011000001101110110101
321111212021200202200000102
4132320101303001232311
5234231340140331313
64302501122523445
7306211306035032
oct36702163015665
97455250680012
102122012433333
11748a38774951
122a3315806585
1312514965a0a0
14749c51aa389
153a2e999ea58
hex1ee11cc1bb5

2122012433333 has 16 divisors (see below), whose sum is σ = 2349684514800. Its totient is φ = 1903901329920.

The previous prime is 2122012433329. The next prime is 2122012433357. The reversal of 2122012433333 is 3333342102212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 417635185009 + 1704377248324 = 646247^2 + 1305518^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122012433333 - 22 = 2122012433329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2122012433296 and 2122012433305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122012433633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7256738 + ... + 7543491.

It is an arithmetic number, because the mean of its divisors is an integer number (146855282175).

Almost surely, 22122012433333 is an apocalyptic number.

It is an amenable number.

2122012433333 is a deficient number, since it is larger than the sum of its proper divisors (227672081467).

2122012433333 is a wasteful number, since it uses less digits than its factorization.

2122012433333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14800552.

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 2122012433333 its reverse (3333342102212), we get a palindrome (5455354535545).

The spelling of 2122012433333 in words is "two trillion, one hundred twenty-two billion, twelve million, four hundred thirty-three thousand, three hundred thirty-three".

Divisors: 1 13 41 269 533 3497 11029 143377 14800229 192402977 606809389 3981261601 7888522057 51756400813 163231725641 2122012433333