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221131301210300 = 225213755922503109
BaseRepresentation
bin110010010001111000100100…
…101010000100100010111100
31001222221221112120220120022002
4302101320210222010202330
5212441003401102212200
62102150152314441432
764402131534064025
oct6221704452044274
91058857476816262
10221131301210300
1164506292719a18
1220974889433278
139650791182aa0
143c86b5250bc4c
151a871ec87dbd5
hexc91e24a848bc

221131301210300 has 72 divisors (see below), whose sum is σ = 516835228240800. Its totient is φ = 81637675326720.

The previous prime is 221131301210299. The next prime is 221131301210311. The reversal of 221131301210300 is 3012103131122.

It is a happy number.

It is a super-3 number, since 3×2211313012103003 (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1424855 + ... + 21078254.

It is an arithmetic number, because the mean of its divisors is an integer number (7178267058900).

Almost surely, 2221131301210300 is an apocalyptic number.

221131301210300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221131301210300 is an abundant number, since it is smaller than the sum of its proper divisors (295703927030500).

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

221131301210300 is a wasteful number, since it uses less digits than its factorization.

221131301210300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22510695 (or 22510688 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 221131301210300 its reverse (3012103131122), we get a palindrome (224143404341422).

The spelling of 221131301210300 in words is "two hundred twenty-one trillion, one hundred thirty-one billion, three hundred one million, two hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 7559 15118 30236 37795 75590 98267 151180 188975 196534 377950 393068 491335 755900 982670 1965340 2456675 4913350 9826700 22503109 45006218 90012436 112515545 225031090 292540417 450062180 562577725 585080834 1125155450 1170161668 1462702085 2250310900 2925404170 5850808340 7313510425 14627020850 29254041700 170101000931 340202001862 680404003724 850505004655 1701010009310 2211313012103 3402020018620 4252525023275 4422626024206 8505050046550 8845252048412 11056565060515 17010100093100 22113130121030 44226260242060 55282825302575 110565650605150 221131301210300