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12332321211331 = 112797018812089
BaseRepresentation
bin1011001101110101011110…
…1000000000001111000011
31121122221212200001210020201
42303131113220000033003
53104023043212230311
642121220134550031
72411660262500602
oct263352750001703
947587780053221
1012332321211331
113a25120903600
121472105508317
136b5c187742c4
14308c5d559a39
15165bd2db99c1
hexb3757a003c3

12332321211331 has 48 divisors (see below), whose sum is σ = 13768721366400. Its totient is φ = 11035664640000.

The previous prime is 12332321211323. The next prime is 12332321211373. The reversal of 12332321211331 is 13311212323321.

It is not a de Polignac number, because 12332321211331 - 23 = 12332321211323 is a prime.

It is a super-2 number, since 2×123323212113312 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12332321211331.

It is not an unprimeable number, because it can be changed into a prime (12332321211031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5903455735 + ... + 5903457823.

It is an arithmetic number, because the mean of its divisors is an integer number (286848361800).

Almost surely, 212332321211331 is an apocalyptic number.

12332321211331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12332321211331 is a deficient number, since it is larger than the sum of its proper divisors (1436400155069).

12332321211331 is a wasteful number, since it uses less digits than its factorization.

12332321211331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3772 (or 3761 counting only the distinct ones).

The product of its digits is 3888, while the sum is 28.

Adding to 12332321211331 its reverse (13311212323321), we get a palindrome (25643533534652).

The spelling of 12332321211331 in words is "twelve trillion, three hundred thirty-two billion, three hundred twenty-one million, two hundred eleven thousand, three hundred thirty-one".

Divisors: 1 11 79 121 701 869 881 2089 7711 9559 9691 22979 55379 69599 84821 106601 165031 252769 609169 617581 765589 1464389 1815341 1840409 6700859 6793391 8421479 16108279 19968751 20244499 48788899 74727301 115686731 145392311 177191069 222689489 536677889 1272554041 1290126709 1599315421 5903456779 13998094451 14191393799 17592469631 101920010011 156105331789 1121120110121 12332321211331