Search a number
-
+
3003113130220 = 2257293072409391
BaseRepresentation
bin101011101100110111011…
…111011100100011101100
3101122002120010011200021101
4223230313133130203230
5343200333430131340
610215340000412444
7426652641266350
oct53546737344354
911562503150241
103003113130220
11a58682086575
12406034617124
1318a2667a44a8
14a54cc54b460
15531b7bd2c9a
hex2bb377dc8ec

3003113130220 has 96 divisors (see below), whose sum is σ = 7480294778880. Its totient is φ = 990895368960.

The previous prime is 3003113130179. The next prime is 3003113130221. The reversal of 3003113130220 is 220313113003.

It is not an unprimeable number, because it can be changed into a prime (3003113130221) 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, 41725 + ... + 2451115.

It is an arithmetic number, because the mean of its divisors is an integer number (77919737280).

Almost surely, 23003113130220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3003113130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3740147389440).

3003113130220 is an abundant number, since it is smaller than the sum of its proper divisors (4477181648660).

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

3003113130220 is a wasteful number, since it uses less digits than its factorization.

3003113130220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409743 (or 2409741 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 3003113130220 its reverse (220313113003), we get a palindrome (3223426243223).

The spelling of 3003113130220 in words is "three trillion, three billion, one hundred thirteen million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 307 406 580 614 812 1015 1228 1535 2030 2149 3070 4060 4298 6140 8596 8903 10745 17806 21490 35612 42980 44515 62321 89030 124642 178060 249284 311605 623210 1246420 2409391 4818782 9637564 12046955 16865737 24093910 33731474 48187820 67462948 69872339 84328685 139744678 168657370 279489356 337314740 349361695 489106373 698723390 739683037 978212746 1397446780 1479366074 1956425492 2445531865 2958732148 3698415185 4891063730 5177781259 7396830370 9782127460 10355562518 14793660740 20711125036 21450808073 25888906295 42901616146 51777812590 85803232292 103555625180 107254040365 150155656511 214508080730 300311313022 429016161460 600622626044 750778282555 1501556565110 3003113130220