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212627129 = 11213135173
BaseRepresentation
bin11001010110001…
…10111010111001
3112211002120120212
430223012322321
5413413032004
633033200505
75161205111
oct1453067271
9484076525
10212627129
11aa027a00
125b260135
1335088890
142034c041
1513a0096e
hexcac6eb9

212627129 has 12 divisors (see below), whose sum is σ = 251693988. Its totient is φ = 178427040.

The previous prime is 212627089. The next prime is 212627161. The reversal of 212627129 is 921726212.

It can be written as a sum of positive squares in 2 ways, for example, as 135187129 + 77440000 = 11627^2 + 8800^2 .

It is a de Polignac number, because none of the positive numbers 2k-212627129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212627095 and 212627104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212627929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66014 + ... + 69159.

It is an arithmetic number, because the mean of its divisors is an integer number (20974499).

Almost surely, 2212627129 is an apocalyptic number.

It is an amenable number.

212627129 is a deficient number, since it is larger than the sum of its proper divisors (39066859).

212627129 is a wasteful number, since it uses less digits than its factorization.

212627129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135208 (or 135197 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 212627129 is about 14581.7395738643. The cubic root of 212627129 is about 596.8605732796.

The spelling of 212627129 in words is "two hundred twelve million, six hundred twenty-seven thousand, one hundred twenty-nine".

Divisors: 1 11 13 121 143 1573 135173 1486903 1757249 16355933 19329739 212627129