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212201022020 = 225131795350377
BaseRepresentation
bin1100010110100000101…
…0101010001001000100
3202021201122122211012212
43011220022222021010
511434041430201040
6241252300202552
721221352632531
oct3055012521104
9667648584185
10212201022020
1181aa2a43679
1235161839458
131701a008230
14a3b06a9d88
1557be6a1d65
hex31682aa244

212201022020 has 96 divisors (see below), whose sum is σ = 508673517408. Its totient is φ = 73663414272.

The previous prime is 212201022013. The next prime is 212201022049. The reversal of 212201022020 is 20220102212.

It can be written as a sum of positive squares in 16 ways, for example, as 37804580356 + 174396441664 = 194434^2 + 417608^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212201021986 and 212201022004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4187072 + ... + 4237448.

It is an arithmetic number, because the mean of its divisors is an integer number (5298682473).

Almost surely, 2212201022020 is an apocalyptic number.

212201022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212201022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254336758704).

212201022020 is an abundant number, since it is smaller than the sum of its proper divisors (296472495388).

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

212201022020 is a wasteful number, since it uses less digits than its factorization.

212201022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51369 (or 51367 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 212201022020 its reverse (20220102212), we get a palindrome (232421124232).

The spelling of 212201022020 in words is "two hundred twelve billion, two hundred one million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 953 1105 1906 2210 3812 4420 4765 9530 12389 16201 19060 24778 32402 49556 50377 61945 64804 81005 100754 123890 162010 201508 210613 247780 251885 324020 421226 503770 654901 842452 856409 1007540 1053065 1309802 1712818 2106130 2619604 3274505 3425636 4212260 4282045 6549010 8564090 11133317 13098020 17128180 22266634 44533268 48009281 55666585 96018562 111333170 192037124 222666340 240046405 480092810 624120653 816157777 960185620 1248241306 1632315554 2496482612 3120603265 3264631108 4080788885 6241206530 8161577770 10610051101 12482413060 16323155540 21220102202 42440204404 53050255505 106100511010 212201022020