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11132121 = 3711213337
BaseRepresentation
bin101010011101…
…110011011001
3202221120101210
4222131303121
510322211441
61034333333
7163423110
oct52356331
922846353
1011132121
116313800
12388a249
1323c9c70
14169ac77
15e9d616
hexa9dcd9

11132121 has 48 divisors (see below), whose sum is σ = 20139392. Its totient is φ = 5322240.

The previous prime is 11132113. The next prime is 11132123. The reversal of 11132121 is 12123111.

11132121 is a nontrivial binomial coefficient, being equal to C(4719, 2).

It is not a de Polignac number, because 11132121 - 23 = 11132113 is a prime.

11132121 is a modest number, since divided by 2121 gives 1113 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 11132097 and 11132106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132123) 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, 32865 + ... + 33201.

Almost surely, 211132121 is an apocalyptic number.

11132121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11132121 is the 4718-th triangular number.

It is an amenable number.

11132121 is a deficient number, since it is larger than the sum of its proper divisors (9007271).

11132121 is a wasteful number, since it uses less digits than its factorization.

11132121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 371 counting only the distinct ones).

The product of its digits is 12, while the sum is 12.

The square root of 11132121 is about 3336.4833282964. The cubic root of 11132121 is about 223.2848752567.

Adding to 11132121 its reverse (12123111), we get a palindrome (23255232).

The spelling of 11132121 in words is "eleven million, one hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 121 143 231 273 337 363 429 847 1001 1011 1573 2359 2541 3003 3707 4381 4719 7077 11011 11121 13143 25949 30667 33033 40777 48191 77847 92001 122331 144573 285439 337337 530101 856317 1012011 1590303 3710707 11132121