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1311242365422 = 23211107295320959
BaseRepresentation
bin10011000101001100001…
…000101010100111101110
311122100112201211210022200
4103011030020222213232
5132440411021143142
62442213150322330
7163506544131063
oct23051410524756
94570481753280
101311242365422
11466105149790
121921644b93a6
139685a2c0482
1447670708c6a
1524195ddb64c
hex1314c22a9ee

1311242365422 has 96 divisors (see below), whose sum is σ = 3129474216960. Its totient is φ = 393480581760.

The previous prime is 1311242365409. The next prime is 1311242365439. The reversal of 1311242365422 is 2245632421131.

It is a happy number.

1311242365422 is a `hidden beast` number, since 1 + 3 + 11 + 242 + 365 + 42 + 2 = 666.

It is a super-3 number, since 3×13112423654223 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 62551779 + ... + 62572737.

It is an arithmetic number, because the mean of its divisors is an integer number (32598689760).

Almost surely, 21311242365422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311242365422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564737108480).

1311242365422 is an abundant number, since it is smaller than the sum of its proper divisors (1818231851538).

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

1311242365422 is a wasteful number, since it uses less digits than its factorization.

1311242365422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24038 (or 24035 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 1311242365422 its reverse (2245632421131), we get a palindrome (3556874786553).

The spelling of 1311242365422 in words is "one trillion, three hundred eleven billion, two hundred forty-two million, three hundred sixty-five thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 107 198 214 321 642 963 1177 1926 2354 2953 3531 5906 7062 8859 10593 17718 20959 21186 26577 32483 41918 53154 62877 64966 97449 125754 188631 194898 230549 292347 315971 377262 461098 584694 631942 691647 947913 1383294 1895826 2074941 2242613 2843739 3475681 4149882 4485226 5687478 6727839 6951362 10427043 13455678 20183517 20854086 24668743 31281129 40367034 49337486 61891927 62562258 74006229 123783854 148012458 185675781 222018687 371351562 444037374 557027343 680811197 1114054686 1361622394 2042433591 4084867182 6127300773 6622436189 12254601546 13244872378 19867308567 39734617134 59601925701 72846798079 119203851402 145693596158 218540394237 437080788474 655621182711 1311242365422