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211012020212220 = 223351123347963491
BaseRepresentation
bin101111111110101000010000…
…100000100001000111111100
31000200010112220111102210012000
4233332220100200201013330
5210124210104133242340
62024441330035542300
762306054366566503
oct5776502040410774
91020115814383160
10211012020212220
1161264771379647
121b7bb66275a990
13909846aaa3636
143a1707175983a
15195dd90b5cd30
hexbfea108211fc

211012020212220 has 96 divisors (see below), whose sum is σ = 657066421213440. Its totient is φ = 56219765152320.

The previous prime is 211012020212207. The next prime is 211012020212263. The reversal of 211012020212220 is 22212020210112.

It is a happy number.

211012020212220 is a `hidden beast` number, since 2 + 110 + 120 + 2 + 0 + 212 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211012020212193 and 211012020212202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173375326 + ... + 174588165.

It is an arithmetic number, because the mean of its divisors is an integer number (6844441887640).

Almost surely, 2211012020212220 is an apocalyptic number.

211012020212220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211012020212220 is an abundant number, since it is smaller than the sum of its proper divisors (446054401001220).

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

211012020212220 is a wasteful number, since it uses less digits than its factorization.

211012020212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347964632 (or 347964624 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211012020212220 its reverse (22212020210112), we get a palindrome (233224040422332).

The spelling of 211012020212220 in words is "two hundred eleven trillion, twelve billion, twenty million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1123 2246 3369 4492 5615 6738 10107 11230 13476 16845 20214 22460 30321 33690 40428 50535 60642 67380 101070 121284 151605 202140 303210 606420 347963491 695926982 1043890473 1391853964 1739817455 2087780946 3131671419 3479634910 4175561892 5219452365 6263342838 6959269820 9395014257 10438904730 12526685676 15658357095 18790028514 20877809460 31316714190 37580057028 46975071285 62633428380 93950142570 187900285140 390763000393 781526000786 1172289001179 1563052001572 1953815001965 2344578002358 3516867003537 3907630003930 4689156004716 5861445005895 7033734007074 7815260007860 10550601010611 11722890011790 14067468014148 17584335017685 21101202021222 23445780023580 35168670035370 42202404042444 52753005053055 70337340070740 105506010106110 211012020212220