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212311011 = 311173371123
BaseRepresentation
bin11001010011110…
…01101111100011
3112210111111221210
430221321233203
5413322423021
633022321203
75155420353
oct1451715743
9483444853
10212311011
11a9931450
125b129203
1334ca7a23
14202a8b63
151398be76
hexca79be3

212311011 has 32 divisors (see below), whose sum is σ = 328243968. Its totient is φ = 120637440.

The previous prime is 212311003. The next prime is 212311019. The reversal of 212311011 is 110113212.

It is an interprime number because it is at equal distance from previous prime (212311003) and next prime (212311019).

It is not a de Polignac number, because 212311011 - 23 = 212311003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212311019) 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 31 ways as a sum of consecutive naturals, for example, 188496 + ... + 189618.

It is an arithmetic number, because the mean of its divisors is an integer number (10257624).

Almost surely, 2212311011 is an apocalyptic number.

212311011 is a deficient number, since it is larger than the sum of its proper divisors (115932957).

212311011 is a wasteful number, since it uses less digits than its factorization.

212311011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 212311011 is about 14570.8960259828. The cubic root of 212311011 is about 596.5646374581.

Adding to 212311011 its reverse (110113212), we get a palindrome (322424223).

The spelling of 212311011 in words is "two hundred twelve million, three hundred eleven thousand, eleven".

Divisors: 1 3 11 17 33 51 187 337 561 1011 1123 3369 3707 5729 11121 12353 17187 19091 37059 57273 63019 189057 210001 378451 630003 1135353 4162961 6433667 12488883 19301001 70770337 212311011