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212100220000 = 255417596029
BaseRepresentation
bin1100010110001000101…
…0001000010001100000
3202021110121222112211201
43011202022020101200
511433340124020000
6241234255450544
721216020060224
oct3054212102140
9667417875751
10212100220000
1181a51054619
1235133b26a54
1317002173676
14a3a114a784
1557b58de96a
hex3162288460

212100220000 has 120 divisors (see below), whose sum is σ = 522181598400. Its totient is φ = 84777792000.

The previous prime is 212100219883. The next prime is 212100220001. The reversal of 212100220000 is 22001212.

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 (212100220001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35176986 + ... + 35183014.

It is an arithmetic number, because the mean of its divisors is an integer number (4351513320).

Almost surely, 2212100220000 is an apocalyptic number.

212100220000 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 212100220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261090799200).

212100220000 is an abundant number, since it is smaller than the sum of its proper divisors (310081378400).

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

212100220000 is an equidigital number, since it uses as much as digits as its factorization.

212100220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7818 (or 7795 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 212100220000 its reverse (22001212), we get a palindrome (212122221212).

The spelling of 212100220000 in words is "two hundred twelve billion, one hundred million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 1759 2000 2500 3518 4000 5000 6029 7036 8795 10000 12058 14072 17590 20000 24116 28144 30145 35180 43975 48232 56288 60290 70360 87950 96464 120580 140720 150725 175900 192928 219875 241160 281440 301450 351800 439750 482320 602900 703600 753625 879500 964640 1099375 1205800 1407200 1507250 1759000 2198750 2411600 3014500 3518000 3768125 4397500 4823200 6029000 7036000 7536250 8795000 10605011 12058000 15072500 17590000 21210022 24116000 30145000 35180000 42420044 53025055 60290000 84840088 106050110 120580000 169680176 212100220 265125275 339360352 424200440 530250550 848400880 1060501100 1325626375 1696801760 2121002200 2651252750 4242004400 5302505500 6628131875 8484008800 10605011000 13256263750 21210022000 26512527500 42420044000 53025055000 106050110000 212100220000