Search a number
-
+
212320433241 = 32794711093209
BaseRepresentation
bin1100010110111101001…
…0001011010001011001
3202022000222100112121200
43011233102023101121
511434313012330431
6241312203424413
721224332622310
oct3055722132131
9668028315550
10212320433241
1182054393034
1235195825109
1317038987167
14a3c24b1277
1557c9ddcee6
hex316f48b459

212320433241 has 48 divisors (see below), whose sum is σ = 351293155200. Its totient is φ = 121050825984.

The previous prime is 212320433239. The next prime is 212320433257. The reversal of 212320433241 is 142334023212.

212320433241 is a `hidden beast` number, since 2 + 1 + 2 + 320 + 4 + 332 + 4 + 1 = 666.

212320433241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212320433241 - 21 = 212320433239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212320433201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 66162445 + ... + 66165653.

It is an arithmetic number, because the mean of its divisors is an integer number (7318607400).

Almost surely, 2212320433241 is an apocalyptic number.

212320433241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212320433241 is a deficient number, since it is larger than the sum of its proper divisors (138972721959).

212320433241 is a wasteful number, since it uses less digits than its factorization.

212320433241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278 (or 5275 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 212320433241 its reverse (142334023212), we get a palindrome (354654456453).

The spelling of 212320433241 in words is "two hundred twelve billion, three hundred twenty million, four hundred thirty-three thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 63 947 1109 2841 3209 3327 6629 7763 8523 9627 9981 19887 22463 23289 28881 59661 67389 69867 202167 1050223 3038923 3150669 3558781 7351561 9116769 9452007 10676343 21272461 22054683 24911467 27350307 32029029 63817383 66164049 74734401 191452149 224203203 3370165607 10110496821 23591159249 30331490463 70773477747 212320433241