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12137301 = 3211122599
BaseRepresentation
bin101110010011…
…001101010101
3211211122020200
4232103031111
511101343201
61112051113
7205110501
oct56231525
924748220
1012137301
11693aa30
124093a99
13268c647
14187d301
1510eb386
hexb93355

12137301 has 12 divisors (see below), whose sum is σ = 19125600. Its totient is φ = 7355880.

The previous prime is 12137299. The next prime is 12137347. The reversal of 12137301 is 10373121.

It is not a de Polignac number, because 12137301 - 21 = 12137299 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12137401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61201 + ... + 61398.

It is an arithmetic number, because the mean of its divisors is an integer number (1593800).

Almost surely, 212137301 is an apocalyptic number.

12137301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12137301 is a deficient number, since it is larger than the sum of its proper divisors (6988299).

12137301 is a wasteful number, since it uses less digits than its factorization.

12137301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122616 (or 122613 counting only the distinct ones).

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

The square root of 12137301 is about 3483.8629421951. The cubic root of 12137301 is about 229.8127082711.

The spelling of 12137301 in words is "twelve million, one hundred thirty-seven thousand, three hundred one".

Divisors: 1 3 9 11 33 99 122599 367797 1103391 1348589 4045767 12137301