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2001222011096 = 2371173419106213
BaseRepresentation
bin11101000111110010001…
…000001000100011011000
321002022111121021110001022
4131013302020020203120
5230242000313323341
64131203152542012
7264404101266440
oct35076210104330
97068447243038
102001222011096
11701793720910
12283a25251908
13116939794469
146cc06cad120
15370ca414e4b
hex1d1f22088d8

2001222011096 has 128 divisors (see below), whose sum is σ = 4753628812800. Its totient is φ = 767173524480.

The previous prime is 2001222011081. The next prime is 2001222011177. The reversal of 2001222011096 is 6901102221002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18788486 + ... + 18894698.

It is an arithmetic number, because the mean of its divisors is an integer number (37137725100).

Almost surely, 22001222011096 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 2001222011096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376814406400).

2001222011096 is an abundant number, since it is smaller than the sum of its proper divisors (2752406801704).

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

2001222011096 is a wasteful number, since it uses less digits than its factorization.

2001222011096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106729 (or 106725 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 2001222011096 its reverse (6901102221002), we get a palindrome (8902324232098).

The spelling of 2001222011096 in words is "two trillion, one billion, two hundred twenty-two million, eleven thousand, ninety-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 73 77 88 146 154 292 308 419 511 584 616 803 838 1022 1606 1676 2044 2933 3212 3352 4088 4609 5621 5866 6424 9218 11242 11732 18436 22484 23464 30587 32263 36872 44968 61174 64526 106213 122348 129052 212426 214109 244696 258104 336457 424852 428218 672914 743491 849704 856436 1168343 1345828 1486982 1712872 2336686 2355199 2691656 2973964 4673372 4710398 5947928 7753549 8178401 9346744 9420796 15507098 16356802 18841592 31014196 32713604 44503247 54274843 62028392 65427208 85289039 89006494 108549686 170578078 178012988 217099372 311522729 341156156 356025976 434198744 489535717 597023273 623045458 682312312 979071434 1194046546 1246090916 1958142868 2388093092 2492181832 3248737031 3426750019 3916285736 4776186184 6497474062 6853500038 12994948124 13707000076 22741159217 25989896248 27414000152 35736107341 45482318434 71472214682 90964636868 142944429364 181929273736 250152751387 285888858728 500305502774 1000611005548 2001222011096