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11148137 = 7211133743
BaseRepresentation
bin101010100001…
…101101101001
3202222101100222
4222201231221
510323220022
61034535425
7163520600
oct52415551
922871328
1011148137
116324840
123897575
132404340
1416a2a37
15ea3242
hexaa1b69

11148137 has 48 divisors (see below), whose sum is σ = 16011072. Its totient is φ = 7620480.

The previous prime is 11148133. The next prime is 11148139. The reversal of 11148137 is 73184111.

11148137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11148137 - 22 = 11148133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11148131) 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, 259238 + ... + 259280.

It is an arithmetic number, because the mean of its divisors is an integer number (333564).

Almost surely, 211148137 is an apocalyptic number.

It is an amenable number.

11148137 is a deficient number, since it is larger than the sum of its proper divisors (4862935).

11148137 is a wasteful number, since it uses less digits than its factorization.

11148137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 111 counting only the distinct ones).

The product of its digits is 672, while the sum is 26.

The square root of 11148137 is about 3338.8825975167. The cubic root of 11148137 is about 223.3919053819.

The spelling of 11148137 in words is "eleven million, one hundred forty-eight thousand, one hundred thirty-seven".

Divisors: 1 7 11 13 37 43 49 77 91 143 259 301 407 473 481 539 559 637 1001 1591 1813 2107 2849 3311 3367 3913 5291 6149 7007 11137 17501 19943 20683 23177 23569 27391 37037 43043 77959 122507 144781 227513 259259 301301 857549 1013467 1592591 11148137