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212838129 = 3273378383
BaseRepresentation
bin11001010111110…
…10011011110001
3112211111022000200
430223322123301
5413441310004
633041505413
75163044220
oct1453723361
9484438020
10212838129
11aa161489
125b342269
133513092a
14203a4cb7
1513a43239
hexcafa6f1

212838129 has 12 divisors (see below), whose sum is σ = 351351936. Its totient is φ = 121621752.

The previous prime is 212838127. The next prime is 212838161. The reversal of 212838129 is 921838212.

It is not a de Polignac number, because 212838129 - 21 = 212838127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212838093 and 212838102.

It is not an unprimeable number, because it can be changed into a prime (212838121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1689129 + ... + 1689254.

It is an arithmetic number, because the mean of its divisors is an integer number (29279328).

Almost surely, 2212838129 is an apocalyptic number.

It is an amenable number.

212838129 is a deficient number, since it is larger than the sum of its proper divisors (138513807).

212838129 is a wasteful number, since it uses less digits than its factorization.

212838129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3378396 (or 3378393 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 212838129 is about 14588.9728562363. The cubic root of 212838129 is about 597.0579390415.

The spelling of 212838129 in words is "two hundred twelve million, eight hundred thirty-eight thousand, one hundred twenty-nine".

Divisors: 1 3 7 9 21 63 3378383 10135149 23648681 30405447 70946043 212838129