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212101010200 = 235217340115287
BaseRepresentation
bin1100010110001000110…
…1001001001100011000
3202021110200110200210101
43011202031021030120
511433340324311300
6241234324425144
721216026561062
oct3054215111430
9667420420711
10212101010200
1181a51544282
12351342481b4
131700238c241
14a3a12b4732
1557b59e8b6a
hex3162349318

212101010200 has 96 divisors (see below), whose sum is σ = 497254736160. Its totient is φ = 84134144000.

The previous prime is 212101010183. The next prime is 212101010207. The reversal of 212101010200 is 2010101212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101010207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13866957 + ... + 13882243.

It is an arithmetic number, because the mean of its divisors is an integer number (5179736835).

Almost surely, 2212101010200 is an apocalyptic number.

212101010200 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 212101010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248627368080).

212101010200 is an abundant number, since it is smaller than the sum of its proper divisors (285153725960).

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

212101010200 is a wasteful number, since it uses less digits than its factorization.

212101010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15877 (or 15868 counting only the distinct ones).

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

Adding to 212101010200 its reverse (2010101212), we get a palindrome (214111111412).

The spelling of 212101010200 in words is "two hundred twelve billion, one hundred one million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 173 200 346 401 692 802 865 1384 1604 1730 2005 3208 3460 4010 4325 6920 8020 8650 10025 15287 16040 17300 20050 30574 34600 40100 61148 69373 76435 80200 122296 138746 152870 277492 305740 346865 382175 554984 611480 693730 764350 1387460 1528700 1734325 2644651 2774920 3057400 3468650 5289302 6130087 6937300 10578604 12260174 13223255 13874600 21157208 24520348 26446510 30650435 49040696 52893020 61300870 66116275 105786040 122601740 132232550 153252175 245203480 264465100 306504350 528930200 613008700 1060505051 1226017400 2121010102 4242020204 5302525255 8484040408 10605050510 21210101020 26512626275 42420202040 53025252550 106050505100 212101010200