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2003303201020 = 22511194791000541
BaseRepresentation
bin11101001001101110001…
…011001111100011111100
321002111212122101211220121
4131021232023033203330
5230310231104413040
64132145500024324
7264506502151522
oct35115613174374
97074778354817
102003303201020
11702661481690
122843062320a4
13116bab9c76a4
146cd63460312
153719ceb3c4a
hex1d26e2cf8fc

2003303201020 has 96 divisors (see below), whose sum is σ = 4841022412800. Its totient is φ = 688691692800.

The previous prime is 2003303200949. The next prime is 2003303201027. The reversal of 2003303201020 is 201023033002.

It is a junction number, because it is equal to n+sod(n) for n = 2003303200985 and 2003303201003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003303201027) 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, 1501950 + ... + 2502490.

It is an arithmetic number, because the mean of its divisors is an integer number (50427316800).

Almost surely, 22003303201020 is an apocalyptic number.

2003303201020 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 2003303201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420511206400).

2003303201020 is an abundant number, since it is smaller than the sum of its proper divisors (2837719211780).

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

2003303201020 is a wasteful number, since it uses less digits than its factorization.

2003303201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001059 (or 1001057 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 2003303201020 its reverse (201023033002), we get a palindrome (2204326234022).

The spelling of 2003303201020 in words is "two trillion, three billion, three hundred three million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 479 836 958 1045 1916 2090 2395 4180 4790 5269 9101 9580 10538 18202 21076 26345 36404 45505 52690 91010 100111 105380 182020 200222 400444 500555 1000541 1001110 2001082 2002220 4002164 5002705 10005410 11005951 19010279 20010820 22011902 38020558 44023804 55029755 76041116 95051395 110059510 190102790 209113069 220119020 380205580 418226138 479259139 836452276 958518278 1045565345 1917036556 2091130690 2396295695 4182261380 4792591390 5271850529 9105923641 9585182780 10543701058 18211847282 21087402116 26359252645 36423694564 45529618205 52718505290 91059236410 100165160051 105437010580 182118472820 200330320102 400660640204 500825800255 1001651600510 2003303201020