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11122111212 = 22317615771549
BaseRepresentation
bin10100101101110110…
…11111001011101100
31001201010012210022220
422112323133023230
5140234230024322
65035345235340
7542421246132
oct122673371354
931633183286
1011122111212
114798161853
1221a4932b50
1310833104c4
147771b9752
1545166055c
hex296edf2ec

11122111212 has 96 divisors (see below), whose sum is σ = 27995083200. Its totient is φ = 3423928320.

The previous prime is 11122111183. The next prime is 11122111241. The reversal of 11122111212 is 21211122111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11122111183) and next prime (11122111241).

It is a super-2 number, since 2×111221112122 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11122111191 and 11122111200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7179414 + ... + 7180962.

It is an arithmetic number, because the mean of its divisors is an integer number (291615450).

Almost surely, 211122111212 is an apocalyptic number.

11122111212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122111212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13997541600).

11122111212 is an abundant number, since it is smaller than the sum of its proper divisors (16872971988).

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

11122111212 is a wasteful number, since it uses less digits than its factorization.

11122111212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2209 counting only the distinct ones).

The product of its digits is 16, while the sum is 15.

Adding to 11122111212 its reverse (21211122111), we get a palindrome (32333233323).

It can be divided in two parts, 11122111 and 212, that multiplied together give a palindrome (2357887532).

The spelling of 11122111212 in words is "eleven billion, one hundred twenty-two million, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 61 68 102 122 183 204 244 366 577 732 1037 1154 1549 1731 2074 2308 3098 3111 3462 4148 4647 6196 6222 6924 9294 9809 12444 18588 19618 26333 29427 35197 39236 52666 58854 70394 78999 94489 105332 105591 117708 140788 157998 188978 211182 283467 315996 377956 422364 566934 598349 893773 1133868 1196698 1606313 1787546 1795047 2393396 2681319 3212626 3575092 3590094 4818939 5362638 6425252 7180188 9637878 10725276 15194141 19275756 30388282 45582423 54520153 60776564 91164846 109040306 163560459 182329692 218080612 327120918 654241836 926842601 1853685202 2780527803 3707370404 5561055606 11122111212