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2001131200020 = 2235234724595779
BaseRepresentation
bin11101000111101100101…
…101101101111000010100
321002022021021101202200010
4131013230231231320110
5230241304041400040
64131150150320220
7264401616355221
oct35075455557024
97068237352603
102001131200020
11701747436137
122839ba959070
13116923a1a2b4
146cbd8bd0948
15370c2477e80
hex1d1ecb6de14

2001131200020 has 96 divisors (see below), whose sum is σ = 5608804723200. Its totient is φ = 533098433664.

The previous prime is 2001131200001. The next prime is 2001131200037. The reversal of 2001131200020 is 200021311002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2001131199969 and 2001131200005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346273491 + ... + 346279269.

It is an arithmetic number, because the mean of its divisors is an integer number (58425049200).

Almost surely, 22001131200020 is an apocalyptic number.

2001131200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001131200020 is an abundant number, since it is smaller than the sum of its proper divisors (3607673523180).

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

2001131200020 is a wasteful number, since it uses less digits than its factorization.

2001131200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10597 (or 10595 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2001131200020 its reverse (200021311002), we get a palindrome (2201152511022).

The spelling of 2001131200020 in words is "two trillion, one billion, one hundred thirty-one million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2347 2459 4694 4918 5779 7041 7377 9388 9836 11558 11735 12295 14082 14754 17337 23116 23470 24590 28164 28895 29508 34674 35205 36885 46940 49180 57790 69348 70410 73770 86685 115580 140820 147540 173370 346740 5771273 11542546 13563313 14210561 17313819 23085092 27126626 28421122 28856365 34627638 40689939 42631683 54253252 56842244 57712730 67816565 69255276 71052805 81379878 85263366 86569095 115425460 135633130 142105610 162759756 170526732 173138190 203449695 213158415 271266260 284211220 346276380 406899390 426316830 813798780 852633660 33352186667 66704373334 100056560001 133408746668 166760933335 200113120002 333521866670 400226240004 500282800005 667043733340 1000565600010 2001131200020