Search a number
-
+
22133322033042 = 23112160119042267
BaseRepresentation
bin1010000100001010100001…
…10011000010011110010010
32220100220222021020100212110
411002011100303002132102
510400113020420024132
6115023524025010150
74443036232063563
oct502052063023622
986326867210773
1022133322033042
117063764300600
122595704923956
13c47217a4784c
1456738948a16a
15285b1267d1cc
hex142150cc2792

22133322033042 has 48 divisors (see below), whose sum is σ = 48687118484256. Its totient is φ = 6702877632000.

The previous prime is 22133322032999. The next prime is 22133322033061. The reversal of 22133322033042 is 24033022333122.

It is a happy number.

It is a super-4 number, since 4×221333220330424 (a number of 54 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8358808 + ... + 10683459.

It is an arithmetic number, because the mean of its divisors is an integer number (1014314968422).

Almost surely, 222133322033042 is an apocalyptic number.

22133322033042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22133322033042 is an abundant number, since it is smaller than the sum of its proper divisors (26553796451214).

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

22133322033042 is a wasteful number, since it uses less digits than its factorization.

22133322033042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19043895 (or 19043884 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 22133322033042 its reverse (24033022333122), we get a palindrome (46166344366164).

The spelling of 22133322033042 in words is "twenty-two trillion, one hundred thirty-three billion, three hundred twenty-two million, thirty-three thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1601 3202 4803 9606 17611 35222 52833 105666 193721 387442 581163 1162326 19042267 38084534 57126801 114253602 209464937 418929874 628394811 1256789622 2304114307 4608228614 6912342921 13824685842 30486669467 60973338934 91460008401 182920016802 335353364137 670706728274 1006060092411 2012120184822 3688887005507 7377774011014 11066661016521 22133322033042