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2242120314333 = 347101304951637
BaseRepresentation
bin100000101000001000110…
…010001110110111011101
321221100022012221012102110
4200220020302032313131
5243213330300024313
64434003231344233
7320662555135224
oct40501062166735
97840265835373
102242120314333
11794972513619
12302655682079
1313357acb7163
147a73a995cbb
153d4c9164ec3
hex20a08c8eddd

2242120314333 has 32 divisors (see below), whose sum is σ = 3084399705600. Its totient is φ = 1447956057600.

The previous prime is 2242120314331. The next prime is 2242120314341. The reversal of 2242120314333 is 3334130212422.

It is a happy number.

It is not a de Polignac number, because 2242120314333 - 21 = 2242120314331 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2242120314333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242120314331) 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 31 ways as a sum of consecutive naturals, for example, 43394991 + ... + 43446627.

It is an arithmetic number, because the mean of its divisors is an integer number (96387490800).

Almost surely, 22242120314333 is an apocalyptic number.

It is an amenable number.

2242120314333 is a deficient number, since it is larger than the sum of its proper divisors (842279391267).

2242120314333 is a wasteful number, since it uses less digits than its factorization.

2242120314333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54837.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 2242120314333 its reverse (3334130212422), we get a palindrome (5576250526755).

The spelling of 2242120314333 in words is "two trillion, two hundred forty-two billion, one hundred twenty million, three hundred fourteen thousand, three hundred thirty-three".

Divisors: 1 3 47 101 141 303 3049 4747 9147 14241 51637 143303 154911 307949 429909 923847 2426939 5215337 7280817 14473603 15646011 43420809 157441213 245120839 472323639 735362517 7399737011 15901562513 22199211033 47704687539 747373438111 2242120314333