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211020031331010 = 232511254461837659
BaseRepresentation
bin101111111110101111101110…
…000000100000101011000010
31000200011022120210202210012100
4233332233232000200223002
5210124323011010043020
62024445133014011230
762306460044146116
oct5776575600405302
91020138523683170
10211020031331010
1161268102450780
121b801119646b16
13909914670a605
143a175d16b9746
15195e1ae102a90
hexbfebee020ac2

211020031331010 has 96 divisors (see below), whose sum is σ = 598532610087360. Its totient is φ = 51156109123200.

The previous prime is 211020031331009. The next prime is 211020031331029. The reversal of 211020031331010 is 10133130020112.

211020031331010 is a `hidden beast` number, since 2 + 1 + 10 + 20 + 0 + 313 + 310 + 10 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251497561 + ... + 252335219.

It is an arithmetic number, because the mean of its divisors is an integer number (6234714688410).

Almost surely, 2211020031331010 is an apocalyptic number.

211020031331010 is an abundant number, since it is smaller than the sum of its proper divisors (387512578756350).

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

211020031331010 is a wasteful number, since it uses less digits than its factorization.

211020031331010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092144 (or 1092141 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 211020031331010 its reverse (10133130020112), we get a palindrome (221153161351122).

The spelling of 211020031331010 in words is "two hundred eleven trillion, twenty billion, thirty-one million, three hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 254461 508922 763383 837659 1272305 1526766 1675318 2290149 2512977 2544610 2799071 3816915 4188295 4580298 5025954 5598142 7538931 7633830 8376590 8397213 9214249 11450745 12564885 13995355 15077862 16794426 18428498 22901490 25129770 25191639 27642747 27990710 37694655 41986065 46071245 50383278 55285494 75389310 82928241 83972130 92142490 125958195 138213735 165856482 251916390 276427470 414641205 829282410 213151546799 426303093598 639454640397 1065757733995 1278909280794 1918363921191 2131515467990 2344667014789 3197273201985 3836727842382 4689334029578 6394546403970 7034001044367 9591819605955 11723335073945 14068002088734 19183639211910 21102003133101 23446670147890 35170005221835 42204006266202 70340010443670 105510015665505 211020031331010