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212211100000 = 255510121011
BaseRepresentation
bin1100010110100011000…
…1000110100101100000
3202021202100121211121101
43011220301012211200
511434102020200000
6241253300204144
721221534405434
oct3055061064540
9667670554541
10212211100000
1181aa86a7389
1235165099654
131701c126433
14a3b1b709c4
1557c04e2e6a
hex3168c46960

212211100000 has 144 divisors (see below), whose sum is σ = 527400275472. Its totient is φ = 84040000000.

The previous prime is 212211099953. The next prime is 212211100019. The reversal of 212211100000 is 1112212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 212211100000.

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, 10089495 + ... + 10110505.

It is an arithmetic number, because the mean of its divisors is an integer number (3662501913).

Almost surely, 2212211100000 is an apocalyptic number.

212211100000 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 212211100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263700137736).

212211100000 is an abundant number, since it is smaller than the sum of its proper divisors (315189175472).

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

212211100000 is an equidigital number, since it uses as much as digits as its factorization.

212211100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21147 (or 21119 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212211100000 its reverse (1112212), we get a palindrome (212212212212).

The spelling of 212211100000 in words is "two hundred twelve billion, two hundred eleven million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 125 160 200 202 250 400 404 500 505 625 800 808 1000 1010 1250 1616 2000 2020 2500 2525 3125 3232 4000 4040 5000 5050 6250 8080 10000 10100 12500 12625 16160 20000 20200 21011 25000 25250 40400 42022 50000 50500 63125 80800 84044 100000 101000 105055 126250 168088 202000 210110 252500 315625 336176 404000 420220 505000 525275 631250 672352 840440 1010000 1050550 1262500 1680880 2020000 2101100 2122111 2525000 2626375 3361760 4202200 4244222 5050000 5252750 8404400 8488444 10100000 10505500 10610555 13131875 16808800 16976888 21011000 21221110 26263750 33953776 42022000 42442220 52527500 53052775 65659375 67907552 84044000 84884440 105055000 106105550 131318750 169768880 210110000 212211100 262637500 265263875 339537760 420220000 424422200 525275000 530527750 848844400 1050550000 1061055500 1326319375 1697688800 2101100000 2122111000 2652638750 4244222000 5305277500 6631596875 8488444000 10610555000 13263193750 21221110000 26526387500 42442220000 53052775000 106105550000 212211100000