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2010131333000 = 235371224123459
BaseRepresentation
bin11101010000000101001…
…010011111111110001000
321010011111111201220002122
4131100011022133332020
5230413222110124000
64135235214350412
7265140633262040
oct35200512377610
97104444656078
102010131333000
1170554580826a
122856b0abb408
13117729515c7b
146d41023c720
153744c67e085
hex1d40529ff88

2010131333000 has 128 divisors (see below), whose sum is σ = 5376333830400. Its totient is φ = 689102208000.

The previous prime is 2010131332939. The next prime is 2010131333009. The reversal of 2010131333000 is 3331310102.

It is a self number, because there is not a number n which added to its sum of digits gives 2010131333000.

It is not an unprimeable number, because it can be changed into a prime (2010131333009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85675271 + ... + 85698729.

It is an arithmetic number, because the mean of its divisors is an integer number (42002608050).

Almost surely, 22010131333000 is an apocalyptic number.

2010131333000 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 2010131333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688166915200).

2010131333000 is an abundant number, since it is smaller than the sum of its proper divisors (3366202497400).

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

2010131333000 is a wasteful number, since it uses less digits than its factorization.

2010131333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35728 (or 35714 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 2010131333000 its reverse (3331310102), we get a palindrome (2013462643102).

The spelling of 2010131333000 in words is "two trillion, ten billion, one hundred thirty-one million, three hundred thirty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 12241 23459 24482 46918 48964 61205 85687 93836 97928 117295 122410 164213 171374 187672 234590 244820 306025 328426 342748 428435 469180 489640 586475 612050 656852 685496 821065 856870 938360 1172950 1224100 1313704 1530125 1642130 1713740 2142175 2345900 2448200 2932375 3060250 3284260 3427480 4105325 4284350 4691800 5864750 6120500 6568520 8210650 8568700 10710875 11729500 12241000 16421300 17137400 20526625 21421750 23459000 32842600 41053250 42843500 82106500 85687000 164213000 287161619 574323238 1148646476 1435808095 2010131333 2297292952 2871616190 4020262666 5743232380 7179040475 8040525332 10050656665 11486464760 14358080950 16081050664 20101313330 28716161900 35895202375 40202626660 50253283325 57432323800 71790404750 80405253320 100506566650 143580809500 201013133300 251266416625 287161619000 402026266600 502532833250 1005065666500 2010131333000