Search a number
-
+
211312123212 = 22382941275147
BaseRepresentation
bin1100010011001100101…
…1110001110101001100
3202012102201001002021210
43010303023301311030
511430231400420322
6241024144054420
721160340261031
oct3046313616514
9665381032253
10211312123212
1181687203863
1234b54004410
1316c07aca6c8
14a3285dd388
15576b61970c
hex31332f1d4c

211312123212 has 48 divisors (see below), whose sum is σ = 493871938560. Its totient is φ = 70321695552.

The previous prime is 211312123207. The next prime is 211312123223. The reversal of 211312123212 is 212321213112.

211312123212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41052823 + ... + 41057969.

It is an arithmetic number, because the mean of its divisors is an integer number (10288998720).

Almost surely, 2211312123212 is an apocalyptic number.

It is an amenable number.

211312123212 is an abundant number, since it is smaller than the sum of its proper divisors (282559815348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211312123212 is a wasteful number, since it uses less digits than its factorization.

211312123212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10110 (or 10108 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

Adding to 211312123212 its reverse (212321213112), we get a palindrome (423633336324).

The spelling of 211312123212 in words is "two hundred eleven billion, three hundred twelve million, one hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 829 1658 2487 3316 4127 4974 5147 8254 9948 10294 12381 15441 16508 20588 24762 30882 49524 61764 3421283 4266863 6842566 8533726 10263849 12800589 13685132 17067452 20527698 21241669 25601178 41055396 42483338 51202356 63725007 84966676 127450014 254900028 17609343601 35218687202 52828030803 70437374404 105656061606 211312123212