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211002222001220 = 225131577229715049
BaseRepresentation
bin101111111110011111001000…
…011111010011110001000100
31000200002121121122101002112022
4233332133020133103301010
5210124030022313014340
62024433025502142312
762305256522302616
oct5776371037236104
91020077548332468
10211002222001220
11612605a3559701
121b7b9789281998
139097568b48850
143a167c2322db6
15195d9ba85e3b5
hexbfe7c87d3c44

211002222001220 has 96 divisors (see below), whose sum is σ = 480296167596000. Its totient is φ = 77401463353344.

The previous prime is 211002222001211. The next prime is 211002222001243. The reversal of 211002222001220 is 22100222200112.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 364545458176 + 210637676543044 = 603776^2 + 14513362^2 .

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, 294730256 + ... + 295445304.

It is an arithmetic number, because the mean of its divisors is an integer number (5003085079125).

Almost surely, 2211002222001220 is an apocalyptic number.

211002222001220 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 211002222001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240148083798000).

211002222001220 is an abundant number, since it is smaller than the sum of its proper divisors (269293945594780).

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

211002222001220 is a wasteful number, since it uses less digits than its factorization.

211002222001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722457 (or 722455 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 211002222001220 its reverse (22100222200112), we get a palindrome (233102444201332).

It can be divided in two parts, 211002 and 222001220, that added together give a palindrome (222212222).

The spelling of 211002222001220 in words is "two hundred eleven trillion, two billion, two hundred twenty-two million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 157 260 314 628 785 1570 2041 3140 4082 7229 8164 10205 14458 20410 28916 36145 40820 72290 93977 144580 187954 375908 469885 715049 939770 1134953 1430098 1879540 2269906 2860196 3575245 4539812 5674765 7150490 9295637 11349530 14300980 14754389 18591274 22699060 29508778 37182548 46478185 59017556 73771945 92956370 112262693 147543890 185912740 224525386 295087780 449050772 561313465 1122626930 1459415009 2245253860 2918830018 5169089221 5837660036 7297075045 10338178442 14594150090 20676356884 25845446105 29188300180 51690892210 67198159873 103381784420 134396319746 268792639492 335990799365 671981598730 811547007697 1343963197460 1623094015394 3246188030788 4057735038485 8115470076970 10550111100061 16230940153940 21100222200122 42200444400244 52750555500305 105501111000610 211002222001220