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2003002011120 = 2435111939932257
BaseRepresentation
bin11101001001011100001…
…110010010110111110000
321002111002122122211001010
4131021130032102313300
5230304122003323440
64132055540310520
7264466154115045
oct35113416226760
97074078584033
102003002011120
11702517465210
122842413a2440
13116b614a1106
146cd3545b1cc
153718181c580
hex1d25c392df0

2003002011120 has 160 divisors (see below), whose sum is σ = 7130303988480. Its totient is φ = 460019589120.

The previous prime is 2003002011083. The next prime is 2003002011163. The reversal of 2003002011120 is 211102003002.

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 = 2003002011096 and 2003002011105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19915969 + ... + 20016288.

It is an arithmetic number, because the mean of its divisors is an integer number (44564399928).

Almost surely, 22003002011120 is an apocalyptic number.

2003002011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003002011120 is an abundant number, since it is smaller than the sum of its proper divisors (5127301977360).

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

2003002011120 is a wasteful number, since it uses less digits than its factorization.

2003002011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39932303 (or 39932297 counting only the distinct ones).

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

Adding to 2003002011120 its reverse (211102003002), we get a palindrome (2214104014122).

The spelling of 2003002011120 in words is "two trillion, three billion, two million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 30 33 38 40 44 48 55 57 60 66 76 80 88 95 110 114 120 132 152 165 176 190 209 220 228 240 264 285 304 330 380 418 440 456 528 570 627 660 760 836 880 912 1045 1140 1254 1320 1520 1672 2090 2280 2508 2640 3135 3344 4180 4560 5016 6270 8360 10032 12540 16720 25080 50160 39932257 79864514 119796771 159729028 199661285 239593542 319458056 399322570 439254827 479187084 598983855 638916112 758712883 798645140 878509654 958374168 1197967710 1317764481 1517425766 1597290280 1757019308 1916748336 2196274135 2276138649 2395935420 2635528962 3034851532 3194580560 3514038616 3793564415 4392548270 4552277298 4791870840 5271057924 6069703064 6588822405 7028077232 7587128830 8345841713 8785096540 9104554596 9583741680 10542115848 11380693245 12139406128 13177644810 15174257660 16691683426 17570193080 18209109192 21084231696 22761386490 25037525139 26355289620 30348515320 33383366852 35140386160 36418218384 41729208565 45522772980 50075050278 52710579240 60697030640 66766733704 83458417130 91045545960 100150100556 105421158480 125187625695 133533467408 166916834260 182091091920 200300201112 250375251390 333833668520 400600402224 500750502780 667667337040 1001501005560 2003002011120