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212246315316 = 22327992984827
BaseRepresentation
bin1100010110101011011…
…1011100000100110100
3202021211210212221221100
43011222313130010310
511434140024042231
6241300555050100
721222442625130
oct3055267340464
9667753787840
10212246315316
118201656a152
1235174a40930
13170265061b9
14a3b66da3c0
1557c364c1e6
hex316addc134

212246315316 has 72 divisors (see below), whose sum is σ = 613225005120. Its totient is φ = 60634982016.

The previous prime is 212246315291. The next prime is 212246315321. The reversal of 212246315316 is 613513642212.

212246315316 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 4 + 631 + 5 + 3 + 16 = 666.

212246315316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2122463153163 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2459695 + ... + 2544521.

It is an arithmetic number, because the mean of its divisors is an integer number (8517013960).

Almost surely, 2212246315316 is an apocalyptic number.

It is an amenable number.

212246315316 is an abundant number, since it is smaller than the sum of its proper divisors (400978689804).

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

212246315316 is a wasteful number, since it uses less digits than its factorization.

212246315316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94773 (or 94768 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

Adding to 212246315316 its reverse (613513642212), we get a palindrome (825759957528).

The spelling of 212246315316 in words is "two hundred twelve billion, two hundred forty-six million, three hundred fifteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 9929 19858 29787 39716 59574 69503 84827 89361 119148 139006 169654 178722 208509 254481 278012 339308 357444 417018 508962 593789 625527 763443 834036 1017924 1187578 1251054 1526886 1781367 2375156 2502108 3053772 3562734 5344101 7125468 10688202 21376404 842247283 1684494566 2526741849 3368989132 5053483698 5895730981 7580225547 10106967396 11791461962 15160451094 17687192943 23582923924 30320902188 35374385886 53061578829 70748771772 106123157658 212246315316