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2002310013000 = 233531160676061
BaseRepresentation
bin11101001000110010111…
…110100010000001001000
321002102022102112200002010
4131020302332202001020
5230301212330404000
64131503140335520
7264443052201603
oct35106276420110
97072272480063
102002310013000
117021a1890840
122840896a45a0
13116a81003c7b
146ccab5a733a
1537140bcad50
hex1d232fa2048

2002310013000 has 128 divisors (see below), whose sum is σ = 6815135283840. Its totient is φ = 485408480000.

The previous prime is 2002310012959. The next prime is 2002310013007. The reversal of 2002310013000 is 3100132002.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2002310013007) 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, 30305031 + ... + 30371030.

It is an arithmetic number, because the mean of its divisors is an integer number (53243244405).

Almost surely, 22002310013000 is an apocalyptic number.

2002310013000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002310013000 is an abundant number, since it is smaller than the sum of its proper divisors (4812825270840).

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

2002310013000 is a wasteful number, since it uses less digits than its factorization.

2002310013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60676096 (or 60676082 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 2002310013000 its reverse (3100132002), we get a palindrome (2005410145002).

The spelling of 2002310013000 in words is "two trillion, two billion, three hundred ten million, thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 60676061 121352122 182028183 242704244 303380305 364056366 485408488 606760610 667436671 728112732 910140915 1213521220 1334873342 1456225464 1516901525 1820281830 2002310013 2427042440 2669746684 3033803050 3337183355 3640563660 4004620026 4550704575 5339493368 6067606100 6674366710 7281127320 7584507625 8009240052 9101409150 10011550065 12135212200 13348733420 15169015250 16018480104 16685916775 18202818300 20023100130 22753522875 26697466840 30338030500 33371833550 36405636600 40046200260 45507045750 50057750325 60676061000 66743667100 80092400520 83429583875 91014091500 100115500650 133487334200 166859167750 182028183000 200231001300 250288751625 333718335500 400462002600 500577503250 667436671000 1001155006500 2002310013000