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2010352242000 = 24353577580691
BaseRepresentation
bin11101010000010010010…
…101001100110101010000
321010012001220102020021110
4131100102111030311100
5230414200133221000
64135313145253320
7265146255052434
oct35202225146520
97105056366243
102010352242000
11705649481493
12285752a94240
1311776321135b
146d4317049c4
1537461c68850
hex1d41254cd50

2010352242000 has 160 divisors (see below), whose sum is σ = 6492619695744. Its totient is φ = 535163904000.

The previous prime is 2010352241999. The next prime is 2010352242007. The reversal of 2010352242000 is 2422530102.

It is a super-2 number, since 2×20103522420002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010352242007) 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, 3171655 + ... + 3752345.

Almost surely, 22010352242000 is an apocalyptic number.

2010352242000 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 2010352242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246309847872).

2010352242000 is an abundant number, since it is smaller than the sum of its proper divisors (4482267453744).

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

2010352242000 is a wasteful number, since it uses less digits than its factorization.

2010352242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581294 (or 581278 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 2010352242000 its reverse (2422530102), we get a palindrome (2012774772102).

The spelling of 2010352242000 in words is "two trillion, ten billion, three hundred fifty-two million, two hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 577 600 750 1000 1154 1200 1500 1731 2000 2308 2885 3000 3462 4616 5770 6000 6924 8655 9232 11540 13848 14425 17310 23080 27696 28850 34620 43275 46160 57700 69240 72125 86550 115400 138480 144250 173100 216375 230800 288500 346200 432750 577000 580691 692400 865500 1154000 1161382 1731000 1742073 2322764 2903455 3462000 3484146 4645528 5806910 6968292 8710365 9291056 11613820 13936584 14517275 17420730 23227640 27873168 29034550 34841460 43551825 46455280 58069100 69682920 72586375 87103650 116138200 139365840 145172750 174207300 217759125 232276400 290345500 335058707 348414600 435518250 580691000 670117414 696829200 871036500 1005176121 1161382000 1340234828 1675293535 1742073000 2010352242 2680469656 3350587070 3484146000 4020704484 5025880605 5360939312 6701174140 8041408968 8376467675 10051761210 13402348280 16082817936 16752935350 20103522420 25129403025 26804696560 33505870700 40207044840 41882338375 50258806050 67011741400 80414089680 83764676750 100517612100 125647015125 134023482800 167529353500 201035224200 251294030250 335058707000 402070448400 502588060500 670117414000 1005176121000 2010352242000