Search a number
-
+
11226182121 = 347115333961
BaseRepresentation
bin10100111010010000…
…11111000111101001
31001222101001010210000
422131020133013221
5140442400311441
65053544013213
7545123654640
oct123510370751
931871033700
1011226182121
114840983870
122213761209
13109ba4ac1b
14786d4a357
1545a86b2b6
hex29d21f1e9

11226182121 has 80 divisors (see below), whose sum is σ = 21303139968. Its totient is φ = 5721580800.

The previous prime is 11226182069. The next prime is 11226182131. The reversal of 11226182121 is 12128162211.

11226182121 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 618 + 21 + 21 = 666.

It is not a de Polignac number, because 11226182121 - 211 = 11226180073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11226182131) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 313581 + ... + 347541.

Almost surely, 211226182121 is an apocalyptic number.

11226182121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11226182121 is a deficient number, since it is larger than the sum of its proper divisors (10076957847).

11226182121 is a wasteful number, since it uses less digits than its factorization.

11226182121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34044 (or 34035 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The spelling of 11226182121 in words is "eleven billion, two hundred twenty-six million, one hundred eighty-two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 53 63 77 81 99 159 189 231 297 371 477 567 583 693 891 1113 1431 1749 2079 3339 4081 4293 5247 6237 10017 12243 15741 30051 33961 36729 47223 101883 110187 237727 305649 330561 373571 713181 916947 1120713 1799933 2139543 2614997 2750841 3362139 5399799 6418629 7844991 10086417 12599531 16199397 19255887 19799263 23534973 30259251 37798593 48598191 59397789 70604919 113395779 138594841 145794573 178193367 211814757 340187337 415784523 534580101 1020562011 1247353569 1603740303 3742060707 11226182121