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11302137 = 3271147347
BaseRepresentation
bin101011000111…
…010011111001
3210021012121200
4223013103321
510343132022
61042124413
7165031560
oct53072371
923235550
1011302137
11641a510
123950709
132459472
141702bd7
15ed3bac
hexac74f9

11302137 has 48 divisors (see below), whose sum is σ = 20846592. Its totient is φ = 5729760.

The previous prime is 11302133. The next prime is 11302153. The reversal of 11302137 is 73120311.

11302137 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11302137 - 22 = 11302133 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11302133) 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, 32398 + ... + 32744.

It is an arithmetic number, because the mean of its divisors is an integer number (434304).

Almost surely, 211302137 is an apocalyptic number.

It is an amenable number.

11302137 is a deficient number, since it is larger than the sum of its proper divisors (9544455).

11302137 is a wasteful number, since it uses less digits than its factorization.

11302137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 11302137 is about 3361.8651073474. The cubic root of 11302137 is about 224.4158476802.

Adding to 11302137 its reverse (73120311), we get a palindrome (84422448).

The spelling of 11302137 in words is "eleven million, three hundred two thousand, one hundred thirty-seven".

Divisors: 1 3 7 9 11 21 33 47 63 77 99 141 231 329 347 423 517 693 987 1041 1551 2429 2961 3123 3619 3817 4653 7287 10857 11451 16309 21861 26719 32571 34353 48927 80157 114163 146781 179399 240471 342489 538197 1027467 1255793 1614591 3767379 11302137