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2231113223120 = 245672631582709
BaseRepresentation
bin100000011101111000101…
…101100000101111010000
321220021220010011000212112
4200131320231200233100
5243023304441114440
64424543111244452
7320123031326255
oct40357055405720
97807803130775
102231113223120
11790234282021
123004a3379728
13132515778c32
1479db4b9b42c
153d082b74965
hex20778b60bd0

2231113223120 has 80 divisors (see below), whose sum is σ = 5284782645120. Its totient is φ = 875781975552.

The previous prime is 2231113223077. The next prime is 2231113223173. The reversal of 2231113223120 is 213223111322.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×22311132231203 (a number of 38 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 15 ways as a sum of consecutive naturals, for example, 618326 + ... + 2201034.

It is an arithmetic number, because the mean of its divisors is an integer number (66059783064).

Almost surely, 22231113223120 is an apocalyptic number.

2231113223120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231113223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642391322560).

2231113223120 is an abundant number, since it is smaller than the sum of its proper divisors (3053669422000).

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

2231113223120 is a wasteful number, since it uses less digits than its factorization.

2231113223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583052 (or 1583046 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 2231113223120 its reverse (213223111322), we get a palindrome (2444336334442).

The spelling of 2231113223120 in words is "two trillion, two hundred thirty-one billion, one hundred thirteen million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 263 268 335 526 536 670 1052 1072 1315 1340 2104 2630 2680 4208 5260 5360 10520 17621 21040 35242 70484 88105 140968 176210 281936 352420 704840 1409680 1582709 3165418 6330836 7913545 12661672 15827090 25323344 31654180 63308360 106041503 126616720 212083006 416252467 424166012 530207515 832504934 848332024 1060415030 1665009868 1696664048 2081262335 2120830060 3330019736 4162524670 4241660120 6660039472 8325049340 8483320240 16650098680 27888915289 33300197360 55777830578 111555661156 139444576445 223111322312 278889152890 446222644624 557778305780 1115556611560 2231113223120