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11121133221 = 341167241773
BaseRepresentation
bin10100101101101111…
…10000011010100101
31001201001101002210000
422112313300122211
5140234002230341
65035312251513
7542410033632
oct122667603245
931631332700
1011121133221
114797653aa0
1221a4540b99
13108305a303
14777003189
1545151a8b6
hex296df06a5

11121133221 has 80 divisors (see below), whose sum is σ = 18494042688. Its totient is φ = 6603379200.

The previous prime is 11121133207. The next prime is 11121133229. The reversal of 11121133221 is 12233112111.

It is not a de Polignac number, because 11121133221 - 26 = 11121133157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11121133194 and 11121133203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121133229) 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, 14386591 + ... + 14387363.

Almost surely, 211121133221 is an apocalyptic number.

11121133221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11121133221 is a deficient number, since it is larger than the sum of its proper divisors (7372909467).

11121133221 is a wasteful number, since it uses less digits than its factorization.

11121133221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1095 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 11121133221 its reverse (12233112111), we get a palindrome (23354245332).

The spelling of 11121133221 in words is "eleven billion, one hundred twenty-one million, one hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 33 67 81 99 201 241 297 603 723 737 773 891 1809 2169 2211 2319 2651 5427 6507 6633 6957 7953 8503 16147 19521 19899 20871 23859 25509 48441 51791 59697 62613 71577 76527 145323 155373 177617 186293 214731 229581 435969 466119 532851 558879 569701 688743 1307907 1398357 1598553 1676637 1709103 2049223 4195071 4795659 5029911 5127309 6147669 12481631 14386977 15089733 15381927 18443007 37444893 46145781 55329021 112334679 137297941 165987063 337004037 411893823 1011012111 1235681469 3707044407 11121133221