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11322234431442 = 23211211797340037
BaseRepresentation
bin1010010011000010100111…
…0000101110011111010010
31111002101122222120212000100
42210300221300232133102
52441000414003301232
640025210201433230
72246001344515164
oct244605160563722
944071588525010
1011322234431442
113675807191690
12132a3a949b816
136418b3825c6c
142b1ddb640934
151497b5d52c7c
hexa4c29c2e7d2

11322234431442 has 96 divisors (see below), whose sum is σ = 26922293745984. Its totient is φ = 3410425065600.

The previous prime is 11322234431419. The next prime is 11322234431507. The reversal of 11322234431442 is 24413443222311.

11322234431442 is a `hidden beast` number, since 1 + 132 + 22 + 34 + 4 + 31 + 442 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11322234431397 and 11322234431406.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33127048 + ... + 33467084.

It is an arithmetic number, because the mean of its divisors is an integer number (280440559854).

Almost surely, 211322234431442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11322234431442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13461146872992).

11322234431442 is an abundant number, since it is smaller than the sum of its proper divisors (15600059314542).

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

11322234431442 is a wasteful number, since it uses less digits than its factorization.

11322234431442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341064 (or 341061 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 11322234431442 its reverse (24413443222311), we get a palindrome (35735677653753).

The spelling of 11322234431442 in words is "eleven trillion, three hundred twenty-two billion, two hundred thirty-four million, four hundred thirty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 211 422 633 797 1266 1594 1899 2321 2391 3798 4642 4782 6963 7173 8767 13926 14346 17534 20889 26301 41778 52602 78903 157806 168167 336334 340037 504501 680074 1009002 1020111 1513503 1849837 2040222 3027006 3060333 3699674 3740407 5549511 6120666 7480814 11099022 11221221 16648533 22442442 33297066 33663663 67327326 71747807 143495614 215243421 271009489 430486842 542018978 645730263 789225877 813028467 1291460526 1578451754 1626056934 2367677631 2439085401 2981104379 4735355262 4878170802 5962208758 7103032893 8943313137 14206065786 17886626274 26829939411 53659878822 57183002179 114366004358 171549006537 343098013074 514647019611 629013023969 1029294039222 1258026047938 1887039071907 3774078143814 5661117215721 11322234431442