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12372113 = 137313037
BaseRepresentation
bin101111001100…
…100010010001
3212021120100102
4233030202101
511131401423
61121102145
7210106205
oct57144221
925246312
1012372113
116a90396
124187955
1327424a0
141900b05
151145c28
hexbcc891

12372113 has 8 divisors (see below), whose sum is σ = 13507368. Its totient is φ = 11263104.

The previous prime is 12372077. The next prime is 12372121. The reversal of 12372113 is 31127321.

12372113 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1236544 + 11135569 = 1112^2 + 3337^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12372113 - 212 = 12368017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12372133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5570 + ... + 7467.

It is an arithmetic number, because the mean of its divisors is an integer number (1688421).

Almost surely, 212372113 is an apocalyptic number.

12372113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12372113 is a deficient number, since it is larger than the sum of its proper divisors (1135255).

12372113 is a wasteful number, since it uses less digits than its factorization.

12372113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13123.

The product of its digits is 252, while the sum is 20.

The square root of 12372113 is about 3517.4014556203. The cubic root of 12372113 is about 231.2852619226.

Adding to 12372113 its reverse (31127321), we get a palindrome (43499434).

The spelling of 12372113 in words is "twelve million, three hundred seventy-two thousand, one hundred thirteen".

Divisors: 1 13 73 949 13037 169481 951701 12372113