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11022022212102 = 23211244355720509
BaseRepresentation
bin1010000001100100001110…
…1101111111101000000110
31110000200202200022222001200
42200121003231333220012
52421041100141241402
635235240324003330
72215212661663326
oct240310355775006
943020680288050
1011022022212102
11356a460216900
1212a0184b30546
1361c4aba522a5
142a167c259286
15141a94c2421c
hexa0643b7fa06

11022022212102 has 144 divisors (see below), whose sum is σ = 26357188188240. Its totient is φ = 3326322130560.

The previous prime is 11022022212041. The next prime is 11022022212109. The reversal of 11022022212102 is 20121222022011.

It is a happy number.

11022022212102 is a `hidden beast` number, since 1 + 10 + 220 + 2 + 221 + 210 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11022022212109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 537413424 + ... + 537433932.

It is an arithmetic number, because the mean of its divisors is an integer number (183036029085).

Almost surely, 211022022212102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11022022212102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13178594094120).

11022022212102 is an abundant number, since it is smaller than the sum of its proper divisors (15335165976138).

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

11022022212102 is a wasteful number, since it uses less digits than its factorization.

11022022212102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21539 (or 21525 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11022022212102 its reverse (20121222022011), we get a palindrome (31143244234113).

It can be divided in two parts, 110220 and 22212102, that added together give a palindrome (22322322).

The spelling of 11022022212102 in words is "eleven trillion, twenty-two billion, twenty-two million, two hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 443 557 726 886 1089 1114 1329 1671 2178 2658 3342 3987 4873 5013 6127 7974 9746 10026 12254 14619 18381 20509 29238 36762 41018 43857 53603 55143 61527 67397 87714 107206 110286 123054 134794 160809 184581 202191 225599 246751 321618 369162 404382 451198 482427 493502 606573 676797 740253 964854 1213146 1353594 1480506 2030391 2220759 2481589 2714261 4060782 4441518 4963178 5428522 7444767 8142783 9085487 11423513 14889534 16285566 18170974 22334301 22847026 24428349 27256461 29856871 34270539 44668602 48856698 54512922 59713742 68541078 81769383 89570613 99940357 102811617 125658643 163538766 179141226 199880714 205623234 251317286 268711839 299821071 376975929 537423678 599642142 753951858 899463213 1099343927 1130927787 1382245073 1798926426 2198687854 2261855574 2764490146 3298031781 4146735219 5060616259 6596063562 8293470438 9894095343 10121232518 12440205657 15181848777 19788190686 24880411314 30363697554 45545546331 55666778849 91091092662 111333557698 167000336547 334000673094 501001009641 612334567339 1002002019282 1224669134678 1837003702017 3674007404034 5511011106051 11022022212102