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233013322300020 = 223537191549533801
BaseRepresentation
bin110100111110110010100100…
…010011011011101001110100
31010120000212010001212001110220
4310332302210103123221310
5221020142241002100040
62143324501551214340
7100036441226654013
oct6476624423335164
91116025101761426
10233013322300020
1168277438880289
12221736622173b0
13a0030a6307a92
144177c9536ca7a
151be1327e752d0
hexd3eca44dba74

233013322300020 has 96 divisors (see below), whose sum is σ = 673578968057856. Its totient is φ = 60140979072000.

The previous prime is 233013322299997. The next prime is 233013322300021. The reversal of 233013322300020 is 20003223310332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233013322300021) 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, 274342881 + ... + 275190920.

It is an arithmetic number, because the mean of its divisors is an integer number (7016447583936).

Almost surely, 2233013322300020 is an apocalyptic number.

233013322300020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233013322300020 is an abundant number, since it is smaller than the sum of its proper divisors (440565645757836).

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

233013322300020 is a wasteful number, since it uses less digits than its factorization.

233013322300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549534041 (or 549534039 counting only the distinct ones).

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

Adding to 233013322300020 its reverse (20003223310332), we get a palindrome (253016545610352).

The spelling of 233013322300020 in words is "two hundred thirty-three trillion, thirteen billion, three hundred twenty-two million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 191 222 370 382 444 555 573 740 764 955 1110 1146 1910 2220 2292 2865 3820 5730 7067 11460 14134 21201 28268 35335 42402 70670 84804 106005 141340 212010 424020 549533801 1099067602 1648601403 2198135204 2747669005 3297202806 5495338010 6594405612 8243007015 10990676020 16486014030 20332750637 32972028060 40665501274 60998251911 81331002548 101663753185 104960955991 121996503822 203327506370 209921911982 243993007644 304991259555 314882867973 406655012740 419843823964 524804779955 609982519110 629765735946 1049609559910 1219965038220 1259531471892 1574414339865 2099219119820 3148828679730 3883555371667 6297657359460 7767110743334 11650666115001 15534221486668 19417776858335 23301332230002 38835553716670 46602664460004 58253330575005 77671107433340 116506661150010 233013322300020