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212142429 = 3319413533
BaseRepresentation
bin11001010010100…
…00100101011101
3112210011221201000
430221100211131
5413302024204
633014540513
75154116022
oct1451204535
9483157630
10212142429
11a9826824
125b067739
1334c49085
1420263549
1513957039
hexca5095d

212142429 has 16 divisors (see below), whose sum is σ = 330827200. Its totient is φ = 133984368.

The previous prime is 212142377. The next prime is 212142457. The reversal of 212142429 is 924241212.

212142429 is a `hidden beast` number, since 21 + 214 + 2 + 429 = 666.

It is not a de Polignac number, because 212142429 - 217 = 212011357 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212142479) 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 15 ways as a sum of consecutive naturals, for example, 206254 + ... + 207279.

It is an arithmetic number, because the mean of its divisors is an integer number (20676700).

Almost surely, 2212142429 is an apocalyptic number.

It is an amenable number.

212142429 is a deficient number, since it is larger than the sum of its proper divisors (118684771).

212142429 is a wasteful number, since it uses less digits than its factorization.

212142429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413561 (or 413555 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 212142429 is about 14565.1099892860. The cubic root of 212142429 is about 596.4066982637.

The spelling of 212142429 in words is "two hundred twelve million, one hundred forty-two thousand, four hundred twenty-nine".

Divisors: 1 3 9 19 27 57 171 513 413533 1240599 3721797 7857127 11165391 23571381 70714143 212142429