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11121112211202 = 23272283317140551
BaseRepresentation
bin1010000111010101010111…
…1100010101111100000010
31110101011112102122110202100
42201311111330111330002
52424202014211224302
635352545102331230
72225321346041100
oct241652574257402
943334472573670
1011121112211202
1135a8489a09844
1212b7419b89b16
13628940b76256
142a639c4b8c70
15144444108d1c
hexa1d55f15f02

11121112211202 has 144 divisors (see below), whose sum is σ = 28217722133952. Its totient is φ = 3156222283200.

The previous prime is 11121112211179. The next prime is 11121112211291. The reversal of 11121112211202 is 20211221112111.

It is a happy number.

11121112211202 is a `hidden beast` number, since 111 + 211 + 1 + 221 + 120 + 2 = 666.

11121112211202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79054827 + ... + 79195377.

It is an arithmetic number, because the mean of its divisors is an integer number (195956403708).

Almost surely, 211121112211202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121112211202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14108861066976).

11121112211202 is an abundant number, since it is smaller than the sum of its proper divisors (17096609922750).

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

11121112211202 is a wasteful number, since it uses less digits than its factorization.

11121112211202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141173 (or 141163 counting only the distinct ones).

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

Adding to 11121112211202 its reverse (20211221112111), we get a palindrome (31332333323313).

The spelling of 11121112211202 in words is "eleven trillion, one hundred twenty-one billion, one hundred twelve million, two hundred eleven thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 283 294 317 441 566 634 849 882 951 1698 1902 1981 2219 2547 2853 3962 4438 5094 5706 5943 6657 11886 13314 13867 15533 17829 19971 27734 31066 35658 39942 41601 46599 83202 89711 93198 124803 139797 140551 179422 249606 269133 279594 281102 421653 538266 627977 807399 843306 983857 1255954 1264959 1614798 1883931 1967714 2529918 2951571 3767862 4395839 5651793 5903142 6886999 8791678 8854713 11303586 13187517 13773998 17709426 20660997 26375034 39562551 39775933 41321994 44554667 61982991 79125102 79551866 89109334 119327799 123965982 133664001 238655598 267328002 278431531 311882669 357983397 400992003 556863062 623765338 715966794 801984006 835294593 935648007 1670589186 1871296014 1949020717 2183178683 2505883779 2806944021 3898041434 4366357366 5011767558 5613888042 5847062151 6549536049 11694124302 12608970761 13099072098 17541186453 19648608147 25217941522 35082372906 37826912283 39297216294 75653824566 88262795327 113480736849 176525590654 226961473698 264788385981 529576771962 617839567289 794365157943 1235679134578 1588730315886 1853518701867 3707037403734 5560556105601 11121112211202