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212312103 = 32329106103
BaseRepresentation
bin11001010011110…
…10000000100111
3112210111120110020
430221322000213
5413322441403
633022330223
75155423503
oct1451720047
9483446406
10212312103
11a9932253
125b129973
1334ca8383
14202a9303
151398c453
hexca7a027

212312103 has 16 divisors (see below), whose sum is σ = 305579520. Its totient is φ = 130717664.

The previous prime is 212312101. The next prime is 212312119. The reversal of 212312103 is 301213212.

It is a cyclic number.

It is not a de Polignac number, because 212312103 - 21 = 212312101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212312101) 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, 51051 + ... + 55052.

It is an arithmetic number, because the mean of its divisors is an integer number (19098720).

Almost surely, 2212312103 is an apocalyptic number.

212312103 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

212312103 is a deficient number, since it is larger than the sum of its proper divisors (93267417).

212312103 is a wasteful number, since it uses less digits than its factorization.

212312103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106158.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 212312103 is about 14570.9334978923. The cubic root of 212312103 is about 596.5656602461.

Adding to 212312103 its reverse (301213212), we get a palindrome (513525315).

The spelling of 212312103 in words is "two hundred twelve million, three hundred twelve thousand, one hundred three".

Divisors: 1 3 23 29 69 87 667 2001 106103 318309 2440369 3076987 7321107 9230961 70770701 212312103