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212133112113 = 31313921390727
BaseRepresentation
bin1100010110010000011…
…1100110100100110001
3202021112220212122100010
43011210013212210301
511433422034041423
6241241432445133
721216566462466
oct3054407464461
9667486778303
10212133112113
1181a6867a98a
1235142b497a9
1317008c1bb60
14a3a566d66d
1557b873a693
hex31641e6931

212133112113 has 16 divisors (see below), whose sum is σ = 304624052096. Its totient is φ = 130533742080.

The previous prime is 212133112111. The next prime is 212133112133. The reversal of 212133112113 is 311211331212.

It is not a de Polignac number, because 212133112113 - 21 = 212133112111 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212133112113.

It is not an unprimeable number, because it can be changed into a prime (212133112111) 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 15 ways as a sum of consecutive naturals, for example, 347556 + ... + 738282.

It is an arithmetic number, because the mean of its divisors is an integer number (19039003256).

Almost surely, 2212133112113 is an apocalyptic number.

It is an amenable number.

212133112113 is a deficient number, since it is larger than the sum of its proper divisors (92490939983).

212133112113 is a wasteful number, since it uses less digits than its factorization.

212133112113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404664.

The product of its digits is 216, while the sum is 21.

Adding to 212133112113 its reverse (311211331212), we get a palindrome (523344443325).

The spelling of 212133112113 in words is "two hundred twelve billion, one hundred thirty-three million, one hundred twelve thousand, one hundred thirteen".

Divisors: 1 3 13 39 13921 41763 180973 390727 542919 1172181 5079451 15238353 5439310567 16317931701 70711037371 212133112113