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2012202002000 = 245331227142973
BaseRepresentation
bin11101010010000000100…
…101011110011001010000
321010100211211001202222002
4131102000211132121100
5230431442203031000
64140220504133132
7265243145544641
oct35220045363120
97110754052862
102012202002000
11706408632563
12285b8a4671a8
131179995044b8
146d5692516c8
153751e3508d5
hex1d48095e650

2012202002000 has 160 divisors (see below), whose sum is σ = 5044616838144. Its totient is φ = 775480128000.

The previous prime is 2012202001939. The next prime is 2012202002003. The reversal of 2012202002000 is 2002022102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012202002003) by changing a digit.

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, 14002514 + ... + 14145486.

Almost surely, 22012202002000 is an apocalyptic number.

2012202002000 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 2012202002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522308419072).

2012202002000 is an abundant number, since it is smaller than the sum of its proper divisors (3032414836144).

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

2012202002000 is a wasteful number, since it uses less digits than its factorization.

2012202002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143254 (or 143238 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2012202002000 its reverse (2002022102), we get a palindrome (2014204024102).

The spelling of 2012202002000 in words is "two trillion, twelve billion, two hundred two million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 227 248 250 310 400 454 496 500 620 775 908 1000 1135 1240 1550 1816 2000 2270 2480 3100 3632 3875 4540 5675 6200 7037 7750 9080 11350 12400 14074 15500 18160 22700 28148 28375 31000 35185 45400 56296 56750 62000 70370 90800 112592 113500 140740 142973 175925 227000 281480 285946 351850 454000 562960 571892 703700 714865 879625 1143784 1407400 1429730 1759250 2287568 2814800 2859460 3518500 3574325 4432163 5718920 7037000 7148650 8864326 11437840 14074000 14297300 17728652 17871625 22160815 28594600 32454871 35457304 35743250 44321630 57189200 64909742 70914608 71486500 88643260 110804075 129819484 142973000 162274355 177286520 221608150 259638968 285946000 324548710 354573040 443216300 519277936 554020375 649097420 811371775 886432600 1006101001 1108040750 1298194840 1622743550 1772865200 2012202002 2216081500 2596389680 3245487100 4024404004 4056858875 4432163000 5030505005 6490974200 8048808008 8113717750 8864326000 10061010010 12981948400 16097616016 16227435500 20122020020 25152525025 32454871000 40244040040 50305050050 64909742000 80488080080 100610100100 125762625125 201220200200 251525250250 402440400400 503050500500 1006101001000 2012202002000