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3122330023230 = 23511311312329871
BaseRepresentation
bin101101011011111001010…
…111110011010100111110
3102001111021112210022221020
4231123321113303110332
5402124012441220410
610350213440245010
7441403151204115
oct55337127632476
912044245708836
103122330023230
11aa4199998830
12425166010766
13198585671b32
14ab19b884c7c
155634404ba70
hex2d6f95f353e

3122330023230 has 128 divisors (see below), whose sum is σ = 8502951739392. Its totient is φ = 726919440000.

The previous prime is 3122330023139. The next prime is 3122330023231. The reversal of 3122330023230 is 323200332213.

It is a self number, because there is not a number n which added to its sum of digits gives 3122330023230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122330023231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175195 + ... + 2505065.

It is an arithmetic number, because the mean of its divisors is an integer number (66429310464).

Almost surely, 23122330023230 is an apocalyptic number.

3122330023230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3122330023230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251475869696).

3122330023230 is an abundant number, since it is smaller than the sum of its proper divisors (5380621716162).

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

3122330023230 is a wasteful number, since it uses less digits than its factorization.

3122330023230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330054.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 3122330023230 its reverse (323200332213), we get a palindrome (3445530355443).

The spelling of 3122330023230 in words is "three trillion, one hundred twenty-two billion, three hundred thirty million, twenty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 131 155 165 186 262 310 330 341 393 465 655 682 786 930 1023 1310 1441 1705 1965 2046 2882 3410 3930 4061 4323 5115 7205 8122 8646 10230 12183 14410 20305 21615 24366 40610 43230 44671 60915 89342 121830 134013 223355 268026 446710 670065 1340130 2329871 4659742 6989613 11649355 13979226 23298710 25628581 34948065 51257162 69896130 72226001 76885743 128142905 144452002 153771486 216678003 256285810 305213101 361130005 384428715 433356006 610426202 722260010 768857430 794486011 915639303 1083390015 1526065505 1588972022 1831278606 2166780030 2383458033 3052131010 3357344111 3972430055 4578196515 4766916066 6714688222 7944860110 9156393030 9461606131 10072032333 11917290165 16786720555 18923212262 20144064666 23834580330 28384818393 33573441110 47308030655 50360161665 56769636786 94616061310 100720323330 104077667441 141924091965 208155334882 283848183930 312233002323 520388337205 624466004646 1040776674410 1561165011615 3122330023230