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112011120000221 = 13231432571934689
BaseRepresentation
bin11001011101111110011111…
…000001001011110011011101
3112200121011021112122011200012
4121131332133001023303131
5104140142233210001341
61034121110445013005
732410351654462421
oct3135763701136335
9480534245564605
10112011120000221
1132765716130802
1210690609554165
134a667ac587200
141d9351d5bab81
15ce39eda850eb
hex65df9f04bcdd

112011120000221 has 48 divisors (see below), whose sum is σ = 128612990753280. Its totient is φ = 97352261959680.

The previous prime is 112011120000217. The next prime is 112011120000223. The reversal of 112011120000221 is 122000021110211.

It is not a de Polignac number, because 112011120000221 - 22 = 112011120000217 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112011120000196 and 112011120000205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112011120000223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56928845 + ... + 58863533.

It is an arithmetic number, because the mean of its divisors is an integer number (2679437307360).

Almost surely, 2112011120000221 is an apocalyptic number.

It is an amenable number.

112011120000221 is a deficient number, since it is larger than the sum of its proper divisors (16601870753059).

112011120000221 is a wasteful number, since it uses less digits than its factorization.

112011120000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935046 (or 1935033 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112011120000221 its reverse (122000021110211), we get a palindrome (234011141110432).

The spelling of 112011120000221 in words is "one hundred twelve trillion, eleven billion, one hundred twenty million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 13 31 43 169 257 403 559 1333 3341 5239 7267 7967 11051 17329 43433 103571 143663 225277 342581 1346423 1867619 1934689 4453553 25150957 57896189 59975359 83191627 326962441 497215073 779679667 1081491151 2578940437 6463795949 10135835671 14059384963 15413667263 21380248139 33526225681 84029347337 200377674419 277943225807 435840933853 662787692309 2604909767447 3613261935491 8616240000017 112011120000221