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203310103203020 = 225114720279700289
BaseRepresentation
bin101110001110100011010010…
…011110110000110011001100
3222122212020220122210020211002
4232032203102132300303030
5203122013042404444040
62000223212204515432
760552445613311532
oct5616432236606314
9878766818706732
10203310103203020
115986536aa7a290
121a976a3a24bb78
13895a0a2b00508
14382c3937a8152
151878867e38a15
hexb8e8d27b0ccc

203310103203020 has 96 divisors (see below), whose sum is σ = 475909574999040. Its totient is φ = 72322243235840.

The previous prime is 203310103202981. The next prime is 203310103203037. The reversal of 203310103203020 is 20302301013302.

203310103203020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2033101032030203 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 203310103202983 and 203310103203001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16109036 + ... + 25809324.

It is an arithmetic number, because the mean of its divisors is an integer number (4957391406240).

Almost surely, 2203310103203020 is an apocalyptic number.

203310103203020 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 203310103203020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237954787499520).

203310103203020 is an abundant number, since it is smaller than the sum of its proper divisors (272599471796020).

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

203310103203020 is a wasteful number, since it uses less digits than its factorization.

203310103203020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9702383 (or 9702381 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 203310103203020 its reverse (20302301013302), we get a palindrome (223612404216322).

The spelling of 203310103203020 in words is "two hundred three trillion, three hundred ten billion, one hundred three million, two hundred three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 2027 2068 2585 4054 5170 8108 10135 10340 20270 22297 40540 44594 89188 95269 111485 190538 222970 381076 445940 476345 952690 1047959 1905380 2095918 4191836 5239795 9700289 10479590 19400578 20959180 38801156 48501445 97002890 106703179 194005780 213406358 426812716 455913583 533515895 911827166 1067031790 1823654332 2134063580 2279567915 4559135830 5015049413 9118271660 10030098826 19662485803 20060197652 25075247065 39324971606 50150494130 78649943212 98312429015 100300988260 196624858030 216287343833 393249716060 432574687666 865149375332 924136832741 1081436719165 1848273665482 2162873438330 3696547330964 4325746876660 4620684163705 9241368327410 10165505160151 18482736654820 20331010320302 40662020640604 50827525800755 101655051601510 203310103203020