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212120022100 = 22527442168543
BaseRepresentation
bin1100010110001101010…
…1101010110001010100
3202021112000020121012211
43011203111222301110
511433410211201400
6241240244123204
721216350303260
oct3054325526124
9667460217184
10212120022100
1181a6124a198
123513a696504
13170062b799c
14a3a3a230a0
1557b7501dba
hex316356ac54

212120022100 has 72 divisors (see below), whose sum is σ = 526184322048. Its totient is φ = 72709353600.

The previous prime is 212120022077. The next prime is 212120022143. The reversal of 212120022100 is 1220021212.

It is a happy number.

212120022100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3060429 + ... + 3128971.

It is an arithmetic number, because the mean of its divisors is an integer number (7308115584).

Almost surely, 2212120022100 is an apocalyptic number.

212120022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212120022100 is an abundant number, since it is smaller than the sum of its proper divisors (314064299948).

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

212120022100 is a wasteful number, since it uses less digits than its factorization.

212120022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72985 (or 72978 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212120022100 its reverse (1220021212), we get a palindrome (213340043312).

The spelling of 212120022100 in words is "two hundred twelve billion, one hundred twenty million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 4421 8842 17684 22105 30947 44210 61894 68543 88420 110525 123788 137086 154735 221050 274172 309470 342715 442100 479801 618940 685430 773675 959602 1370860 1547350 1713575 1919204 2399005 3094700 3427150 4798010 6854300 9596020 11995025 23990050 47980100 303028603 606057206 1212114412 1515143015 2121200221 3030286030 4242400442 6060572060 7575715075 8484800884 10606001105 15151430150 21212002210 30302860300 42424004420 53030005525 106060011050 212120022100