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212937291 = 32721728403
BaseRepresentation
bin11001011000100…
…10101001001011
3112211200100001100
430230102221023
5414002443131
633043552443
75163636300
oct1454225113
9484610040
10212937291
11aa219a36
125b38b723
1335166ac8
14203cd0a7
1513a627e6
hexcb12a4b

212937291 has 36 divisors (see below), whose sum is σ = 378852552. Its totient is φ = 114516864.

The previous prime is 212937281. The next prime is 212937293. The reversal of 212937291 is 192739212.

It is not a de Polignac number, because 212937291 - 210 = 212936267 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212937293) 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 35 ways as a sum of consecutive naturals, for example, 6705 + ... + 21698.

It is an arithmetic number, because the mean of its divisors is an integer number (10523682).

Almost surely, 2212937291 is an apocalyptic number.

212937291 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212937291 is a deficient number, since it is larger than the sum of its proper divisors (165915261).

212937291 is a wasteful number, since it uses less digits than its factorization.

212937291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28440 (or 28430 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 212937291 is about 14592.3709862380. The cubic root of 212937291 is about 597.1506484123.

The spelling of 212937291 in words is "two hundred twelve million, nine hundred thirty-seven thousand, two hundred ninety-one".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 357 441 833 1071 2499 7497 28403 85209 198821 255627 482851 596463 1391747 1448553 1789389 3379957 4175241 4345659 10139871 12525723 23659699 30419613 70979097 212937291