Search a number
-
+
21030030311100 = 223521092113047963
BaseRepresentation
bin1001100100000011011110…
…11111000111111010111100
32202110110011222012210112020
410302001233133013322330
510224024000224423400
6112421021302240140
74300240520142216
oct462015737077274
982413158183466
1021030030311100
11677887094a158
122437916726050
13b9717acc8115
14529c04b5d5b6
1526708cc122a0
hex13206f7c7ebc

21030030311100 has 144 divisors (see below), whose sum is σ = 61696155776640. Its totient is φ = 5530222252800.

The previous prime is 21030030311047. The next prime is 21030030311111. The reversal of 21030030311100 is 111303003012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21030030311100.

It is a congruent number.

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, 5375719 + ... + 8423681.

Almost surely, 221030030311100 is an apocalyptic number.

21030030311100 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 21030030311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30848077888320).

21030030311100 is an abundant number, since it is smaller than the sum of its proper divisors (40666125465540).

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

21030030311100 is a wasteful number, since it uses less digits than its factorization.

21030030311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048300 (or 3048293 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 21030030311100 its reverse (111303003012), we get a palindrome (21141333314112).

The spelling of 21030030311100 in words is "twenty-one trillion, thirty billion, thirty million, three hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 109 150 211 218 300 327 422 436 545 633 654 844 1055 1090 1266 1308 1635 2110 2180 2532 2725 3165 3270 4220 5275 5450 6330 6540 8175 10550 10900 12660 15825 16350 21100 22999 31650 32700 45998 63300 68997 91996 114995 137994 229990 275988 344985 459980 574975 689970 1149950 1379940 1724925 2299900 3047963 3449850 6095926 6899700 9143889 12191852 15239815 18287778 30479630 36575556 45719445 60959260 76199075 91438890 152398150 182877780 228597225 304796300 332227967 457194450 643120193 664455934 914388900 996683901 1286240386 1328911868 1661139835 1929360579 1993367802 2572480772 3215600965 3322279670 3858721158 3986735604 4983419505 6431201930 6644559340 7717442316 8305699175 9646802895 9966839010 12862403860 16078004825 16611398350 19293605790 19933678020 24917097525 32156009650 33222796700 38587211580 48234014475 49834195050 64312019300 70100101037 96468028950 99668390100 140200202074 192936057900 210300303111 280400404148 350500505185 420600606222 701001010370 841201212444 1051501515555 1402002020740 1752502525925 2103003031110 3505005051850 4206006062220 5257507577775 7010010103700 10515015155550 21030030311100