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11021220211122 = 232111922712905803
BaseRepresentation
bin1010000001100001001111…
…1010100110100110110010
31110000121200210020002112200
42200120103322212212302
52421032424333223442
635235024554204030
72215154053044132
oct240302372464662
943017623202480
1011021220211122
11356a089539680
12129bba0423616
1361c3b184b6b4
142a160392cac2
15141a4960434c
hexa0613ea69b2

11021220211122 has 96 divisors (see below), whose sum is σ = 27542018200320. Its totient is φ = 3150048152160.

The previous prime is 11021220211087. The next prime is 11021220211213. The reversal of 11021220211122 is 22111202212011.

11021220211122 is a `hidden beast` number, since 110 + 2 + 1 + 220 + 211 + 122 = 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 = 11021220211095 and 11021220211104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5598928 + ... + 7306875.

It is an arithmetic number, because the mean of its divisors is an integer number (286896022920).

Almost surely, 211021220211122 is an apocalyptic number.

11021220211122 is an abundant number, since it is smaller than the sum of its proper divisors (16520797989198).

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

11021220211122 is a wasteful number, since it uses less digits than its factorization.

11021220211122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12906068 (or 12906065 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11021220211122 its reverse (22111202212011), we get a palindrome (33132422423133).

The spelling of 11021220211122 in words is "eleven trillion, twenty-one billion, two hundred twenty million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 227 342 418 454 627 681 1254 1362 1881 2043 2497 3762 4086 4313 4994 7491 8626 12939 14982 22473 25878 38817 44946 47443 77634 94886 142329 284658 426987 853974 12905803 25811606 38717409 77434818 116152227 141963833 232304454 245210257 283927666 425891499 490420514 735630771 851782998 1277674497 1471261542 2206892313 2555348994 2697312827 2929617281 4413784626 5394625654 5859234562 8091938481 8788851843 16183876962 17577703686 24275815443 26366555529 32225790091 48551630886 52733111058 55662728339 64451580182 96677370273 111325456678 166988185017 193354740546 290032110819 333976370034 500964555051 580064221638 612290011729 1001929110102 1224580023458 1836870035187 3673740070374 5510610105561 11021220211122