Search a number
-
+
212300332431 = 31113746958711
BaseRepresentation
bin1100010110111000010…
…1011111110110001111
3202021222120112022111020
43011232011133312033
511434242341114211
6241310204525223
721224000023335
oct3055605376617
9667876468436
10212300332431
1182044003aa0
123518ab50813
1317034769ba5
14a3bd95bb55
1557c826c306
hex316e15fd8f

212300332431 has 16 divisors (see below), whose sum is σ = 311054508288. Its totient is φ = 127727691200.

The previous prime is 212300332381. The next prime is 212300332441. The reversal of 212300332431 is 134233003212.

It is a cyclic number.

It is not a de Polignac number, because 212300332431 - 218 = 212300070287 is a prime.

It is a super-2 number, since 2×2123003324312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212300332441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23474835 + ... + 23483876.

It is an arithmetic number, because the mean of its divisors is an integer number (19440906768).

Almost surely, 2212300332431 is an apocalyptic number.

212300332431 is a deficient number, since it is larger than the sum of its proper divisors (98754175857).

212300332431 is a wasteful number, since it uses less digits than its factorization.

212300332431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46958862.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 212300332431 its reverse (134233003212), we get a palindrome (346533335643).

The spelling of 212300332431 in words is "two hundred twelve billion, three hundred million, three hundred thirty-two thousand, four hundred thirty-one".

Divisors: 1 3 11 33 137 411 1507 4521 46958711 140876133 516545821 1549637463 6433343407 19300030221 70766777477 212300332431