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22132111221 = 361119295009
BaseRepresentation
bin10100100111001011…
…010011011101110101
32010010102110202000000
4110213023103131311
5330311310024341
614100051541513
71412311561413
oct244713233565
963112422000
1022132111221
119427aaa810
124357bba899
1321193296cc
1410dd5302b3
158980278b6
hex5272d3775

22132111221 has 112 divisors (see below), whose sum is σ = 39426696000. Its totient is φ = 12266795520.

The previous prime is 22132111213. The next prime is 22132111289. The reversal of 22132111221 is 12211123122.

22132111221 is a `hidden beast` number, since 221 + 321 + 1 + 122 + 1 = 666.

It is not a de Polignac number, because 22132111221 - 23 = 22132111213 is a prime.

It is a super-2 number, since 2×221321112212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22132111194 and 22132111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132111121) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4415965 + ... + 4420973.

Almost surely, 222132111221 is an apocalyptic number.

It is an amenable number.

22132111221 is a deficient number, since it is larger than the sum of its proper divisors (17294584779).

22132111221 is a wasteful number, since it uses less digits than its factorization.

22132111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5086 (or 5071 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 22132111221 its reverse (12211123122), we get a palindrome (34343234343).

The spelling of 22132111221 in words is "twenty-two billion, one hundred thirty-two million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 11 19 27 29 33 57 81 87 99 171 209 243 261 297 319 513 551 627 729 783 891 957 1539 1653 1881 2349 2673 2871 4617 4959 5009 5643 6061 7047 8019 8613 13851 14877 15027 16929 18183 21141 25839 44631 45081 50787 54549 55099 77517 95171 133893 135243 145261 152361 163647 165297 232551 285513 401679 405729 435783 490941 495891 856539 1046881 1217187 1307349 1472823 1487673 1597871 2569617 2759959 3140643 3651561 3922047 4418469 4463019 4793613 7708851 8279877 9421929 11766141 13389057 14380839 23126553 24839631 28265787 30359549 35298423 40167171 43142517 69379659 74518893 84797361 91078647 105895269 129427551 223556679 254392083 273235941 388282653 670670037 763176249 819707823 1164847959 2012010111 2459123469 7377370407 22132111221