Search a number
-
+
11012122210122 = 23211394091411271
BaseRepresentation
bin1010000000111111010110…
…1000011110111101001010
31102222202012201201202102200
42200033311220132331022
52420410311241210442
635230522112341030
72214412440234645
oct240176550367512
942882181652380
1011012122210122
11356623a9a1890
12129a281544776
1361b5919a7757
142a0dbd4c6a5c
151416b5a1a34c
hexa03f5a1ef4a

11012122210122 has 48 divisors (see below), whose sum is σ = 26029331415360. Its totient is φ = 3336919689600.

The previous prime is 11012122210109. The next prime is 11012122210123. The reversal of 11012122210122 is 22101222121011.

11012122210122 is a `hidden beast` number, since 110 + 1 + 212 + 221 + 0 + 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 = 11012122210095 and 11012122210104.

It is not an unprimeable number, because it can be changed into a prime (11012122210123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7097347 + ... + 8508617.

It is an arithmetic number, because the mean of its divisors is an integer number (542277737820).

Almost surely, 211012122210122 is an apocalyptic number.

11012122210122 is an abundant number, since it is smaller than the sum of its proper divisors (15017209205238).

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

11012122210122 is a wasteful number, since it uses less digits than its factorization.

11012122210122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450699 (or 1450696 counting only the distinct ones).

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

Adding to 11012122210122 its reverse (22101222121011), we get a palindrome (33113344331133).

The spelling of 11012122210122 in words is "eleven trillion, twelve billion, one hundred twenty-two million, two hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 39409 78818 118227 236454 354681 433499 709362 866998 1300497 1411271 2600994 2822542 3901491 4233813 7802982 8467626 12701439 15523981 25402878 31047962 46571943 93143886 139715829 279431658 55616778839 111233557678 166850336517 333700673034 500551009551 611784567229 1001102019102 1223569134458 1835353701687 3670707403374 5506061105061 11012122210122