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30313201100 = 225271331110711
BaseRepresentation
bin11100001110110011…
…101011110111001100
32220020120122011111212
4130032303223313030
5444040134413400
621531541033552
72122121646410
oct341663536714
986216564455
1030313201100
1111946014716
125a5b9b58b8
132b212357b0
141677c96d40
15bc6394335
hex70ecebdcc

30313201100 has 144 divisors (see below), whose sum is σ = 81227467776. Its totient is φ = 9561888000.

The previous prime is 30313201099. The next prime is 30313201111. The reversal of 30313201100 is 110231303.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2824745 + ... + 2835455.

Almost surely, 230313201100 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 30313201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40613733888).

30313201100 is an abundant number, since it is smaller than the sum of its proper divisors (50914266676).

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

30313201100 is a wasteful number, since it uses less digits than its factorization.

30313201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11056 (or 11049 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 30313201100 its reverse (110231303), we get a palindrome (30423432403).

The spelling of 30313201100 in words is "thirty billion, three hundred thirteen million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 311 325 350 364 455 622 650 700 910 1244 1300 1555 1820 2177 2275 3110 4043 4354 4550 6220 7775 8086 8708 9100 10711 10885 15550 16172 20215 21422 21770 28301 31100 40430 42844 43540 53555 54425 56602 74977 80860 101075 107110 108850 113204 139243 141505 149954 202150 214220 217700 267775 278486 283010 299908 374885 404300 535550 556972 566020 696215 707525 749770 974701 1071100 1392430 1415050 1499540 1874425 1949402 2784860 2830100 3331121 3481075 3748850 3898804 4873505 6662242 6962150 7497700 9747010 13324484 13924300 16655605 19494020 23317847 24367525 33311210 43304573 46635694 48735050 66622420 83278025 86609146 93271388 97470100 116589235 166556050 173218292 216522865 233178470 303132011 333112100 433045730 466356940 582946175 606264022 866091460 1082614325 1165892350 1212528044 1515660055 2165228650 2331784700 3031320110 4330457300 6062640220 7578300275 15156600550 30313201100