Search a number
-
+
221111110121220 = 223451112408030871
BaseRepresentation
bin110010010001100101110001…
…001011001011011100000100
31001222220000102102210222010000
4302101211301023023130010
5212440141023142334340
62102133013001401300
764400515301465064
oct6221456113133404
91058800372728100
10221111110121220
11644a8771343940
1220970993499230
13964b8c4020ab7
143c85b98ac33a4
151a86919e68d30
hexc919712cb704

221111110121220 has 120 divisors (see below), whose sum is σ = 756691354698048. Its totient is φ = 53602693358400.

The previous prime is 221111110121197. The next prime is 221111110121249. The reversal of 221111110121220 is 22121011111122.

It is a happy number.

221111110121220 is a `hidden beast` number, since 2 + 211 + 1 + 1 + 110 + 121 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221111110121193 and 221111110121202.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6203997616 + ... + 6204033255.

Almost surely, 2221111110121220 is an apocalyptic number.

221111110121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221111110121220 is an abundant number, since it is smaller than the sum of its proper divisors (535580244576828).

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

221111110121220 is a wasteful number, since it uses less digits than its factorization.

221111110121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12408030903 (or 12408030892 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 221111110121220 its reverse (22121011111122), we get a palindrome (243232121232342).

The spelling of 221111110121220 in words is "two hundred twenty-one trillion, one hundred eleven billion, one hundred ten million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5940 8910 17820 12408030871 24816061742 37224092613 49632123484 62040154355 74448185226 111672277839 124080308710 136488339581 148896370452 186120463065 223344555678 248160617420 272976679162 335016833517 372240926130 409465018743 446689111356 545953358324 558361389195 670033667034 682441697905 744481852260 818930037486 1005050500551 1116722778390 1228395056229 1340067334068 1364883395810 1637860074972 1675084167585 2010101001102 2047325093715 2233445556780 2456790112458 2729766791620 3350168335170 3685185168687 4020202002204 4094650187430 4913580224916 5025252502755 6141975281145 6700336670340 7370370337374 8189300374860 10050505005510 11055555506061 12283950562290 14740740674748 18425925843435 20101010011020 22111111012122 24567901124580 36851851686870 44222222024244 55277777530305 73703703373740 110555555060610 221111110121220