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211020000222112 = 25171313139460391
BaseRepresentation
bin101111111110101111101100…
…001001110101101110100000
31000200011022111122020021210221
4233332233230021311232200
5210124322430024101422
62024445125543132424
762306456215551454
oct5776575411655640
91020138448207727
10211020000222112
1161268096933144
121b80110b144114
139099140137993
143a175cb4dc664
15195e1ab50a3c7
hexbfebec275ba0

211020000222112 has 96 divisors (see below), whose sum is σ = 444657647516544. Its totient is φ = 98230635110400.

The previous prime is 211020000222071. The next prime is 211020000222131. The reversal of 211020000222112 is 211222000020112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17575437 + ... + 27035827.

It is an arithmetic number, because the mean of its divisors is an integer number (4631850494964).

Almost surely, 2211020000222112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211020000222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222328823758272).

211020000222112 is an abundant number, since it is smaller than the sum of its proper divisors (233637647294432).

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

211020000222112 is a wasteful number, since it uses less digits than its factorization.

211020000222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9460862 (or 9460854 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211020000222112 its reverse (211222000020112), we get a palindrome (422242000242224).

It can be divided in two parts, 211020000 and 222112, that added together give a palindrome (211242112).

The spelling of 211020000222112 in words is "two hundred eleven trillion, twenty billion, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 131 136 262 272 313 524 544 626 1048 1252 2096 2227 2504 4192 4454 5008 5321 8908 10016 10642 17816 21284 35632 41003 42568 71264 82006 85136 164012 170272 328024 656048 697051 1312096 1394102 2788204 5576408 9460391 11152816 18920782 22305632 37841564 75683128 151366256 160826647 302732512 321653294 643306588 1239311221 1286613176 2478622442 2573226352 2961102383 4957244884 5146452704 5922204766 9914489768 11844409532 19828979536 21068290757 23688819064 39657959072 42136581514 47377638128 50338740511 84273163028 94755276256 100677481022 168546326056 201354962044 337092652112 387904412173 402709924088 674185304224 775808824346 805419848176 1551617648692 1610839696352 3103235297384 6206470594768 6594375006941 12412941189536 13188750013882 26377500027764 52755000055528 105510000111056 211020000222112