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212013310212 = 223211535387147
BaseRepresentation
bin1100010101110011111…
…0100110000100000100
3202021020120110002000200
43011130332212010010
511433200401411322
6241221513010500
721213613255014
oct3053476460404
9667216402020
10212013310212
1181a06a93a50
123510a9b3a30
1316cba164162
14a3937a5c44
1557ace738ac
hex315cfa6104

212013310212 has 36 divisors (see below), whose sum is σ = 584642765616. Its totient is φ = 64246457520.

The previous prime is 212013310199. The next prime is 212013310217.

212013310212 is a `hidden beast` number, since 2 + 120 + 1 + 331 + 0 + 212 = 666.

212013310212 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212013310217) 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 11 ways as a sum of consecutive naturals, for example, 267693178 + ... + 267693969.

Almost surely, 2212013310212 is an apocalyptic number.

212013310212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212013310212 is an abundant number, since it is smaller than the sum of its proper divisors (372629455404).

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

212013310212 is a wasteful number, since it uses less digits than its factorization.

212013310212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535387168 (or 535387163 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 212013 and 310212, that added together give a palindrome (522225).

The spelling of 212013310212 in words is "two hundred twelve billion, thirteen million, three hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 535387147 1070774294 1606161441 2141548588 3212322882 4818484323 5889258617 6424645764 9636968646 11778517234 17667775851 19273937292 23557034468 35335551702 53003327553 70671103404 106006655106 212013310212