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212112000020 = 22519756399547
BaseRepresentation
bin1100010110001011011…
…1000100010000010100
3202021111110011000222202
43011202313010100110
511433401133000040
6241235400144032
721216222152264
oct3054267042024
9667443130882
10212112000020
1181a57770078
1235137a68018
13170047394ab
14a3a29357a4
1557b696a015
hex3162dc4414

212112000020 has 48 divisors (see below), whose sum is σ = 447822587520. Its totient is φ = 84390305664.

The previous prime is 212112000017. The next prime is 212112000029. The reversal of 212112000020 is 20000211212.

It is a happy number.

212112000020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212111999965 and 212112000010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112000029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22212887 + ... + 22222433.

It is an arithmetic number, because the mean of its divisors is an integer number (9329637240).

Almost surely, 2212112000020 is an apocalyptic number.

212112000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112000020 is an abundant number, since it is smaller than the sum of its proper divisors (235710587500).

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

212112000020 is a wasteful number, since it uses less digits than its factorization.

212112000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15392 (or 15390 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212112000020 its reverse (20000211212), we get a palindrome (232112211232).

The spelling of 212112000020 in words is "two hundred twelve billion, one hundred twelve million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 197 394 788 985 1970 3940 5639 9547 11278 19094 22556 28195 38188 47735 56390 95470 112780 190940 1110883 1880759 2221766 3761518 4443532 5554415 7523036 9403795 11108830 18807590 22217660 37615180 53835533 107671066 215342132 269177665 538355330 1076710660 10605600001 21211200002 42422400004 53028000005 106056000010 212112000020