Search a number
-
+
11121211222121 = 7211133631437113
BaseRepresentation
bin1010000111010101101111…
…0110000010100001101001
31110101011210022221202012102
42201311123312002201221
52424202220033101441
635353003000423145
72225323660443500
oct241653366024151
943334708852172
1011121211222121
1135a852a895150
1212b7447177ab5
136289585317b0
142a63ab6cd837
1514444cb6569b
hexa1d5bd82869

11121211222121 has 48 divisors (see below), whose sum is σ = 15202838907648. Its totient is φ = 7997051462400.

The previous prime is 11121211222097. The next prime is 11121211222133. The reversal of 11121211222121 is 12122211212111.

It is a happy number.

It is not a de Polignac number, because 11121211222121 - 218 = 11121210959977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11121211222093 and 11121211222102.

It is not an unprimeable number, because it can be changed into a prime (11121211222421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25223861 + ... + 25660973.

It is an arithmetic number, because the mean of its divisors is an integer number (316725810576).

Almost surely, 211121211222121 is an apocalyptic number.

11121211222121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11121211222121 is a deficient number, since it is larger than the sum of its proper divisors (4081627685527).

11121211222121 is a wasteful number, since it uses less digits than its factorization.

11121211222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440782 (or 440775 counting only the distinct ones).

The product of its digits is 64, while the sum is 20.

Adding to 11121211222121 its reverse (12122211212111), we get a palindrome (23243422434232).

The spelling of 11121211222121 in words is "eleven trillion, one hundred twenty-one billion, two hundred eleven million, two hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 3631 7007 25417 39941 47203 177919 279587 330421 437113 519233 1957109 2312947 3059791 3634631 4808243 5682469 21418537 25442417 33657701 39777283 62507159 235603907 278440981 437550113 1587157303 3062850791 11110101121 17458730333 20633044939 77770707847 122211112331 144431314573 226963494329 855477786317 1011019202011 1588744460303 11121211222121