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111202002220221 = 34111945083145703
BaseRepresentation
bin11001010010001100111011…
…110101110011010010111101
3112120201210210201210012220000
4121102030323311303102331
5104033413200032021341
61032301254454544513
732265036165022413
oct3122147365632275
9476653721705800
10111202002220221
113248356024aa40
121057b839668139
134a083c462cc53
141d662c43412b3
15ccc94509d8b6
hex65233bd734bd

111202002220221 has 80 divisors (see below), whose sum is σ = 190761411709440. Its totient is φ = 63846185122080.

The previous prime is 111202002220219. The next prime is 111202002220241. The reversal of 111202002220221 is 122022200202111.

It is a happy number.

111202002220221 is a `hidden beast` number, since 1 + 1 + 1 + 20 + 200 + 2 + 220 + 221 = 666.

It is not a de Polignac number, because 111202002220221 - 21 = 111202002220219 is a prime.

It is a super-3 number, since 3×1112020022202213 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111202002220194 and 111202002220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111202002220241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 763137256 + ... + 763282958.

It is an arithmetic number, because the mean of its divisors is an integer number (2384517646368).

Almost surely, 2111202002220221 is an apocalyptic number.

111202002220221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111202002220221 is a deficient number, since it is larger than the sum of its proper divisors (79559409489219).

111202002220221 is a wasteful number, since it uses less digits than its factorization.

111202002220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190828 (or 190819 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 111202002220221 its reverse (122022200202111), we get a palindrome (233224202422332).

The spelling of 111202002220221 in words is "one hundred eleven trillion, two hundred two billion, two million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 11 19 27 33 57 81 99 171 209 297 513 627 891 1539 1881 5643 16929 45083 135249 145703 405747 437109 495913 856577 1217241 1311327 1487739 1602733 2569731 2768357 3651723 3933981 4463217 4808199 7709193 8305071 9422347 11801943 13389651 14424597 23127579 24915213 28267041 30451927 40168953 43273791 69382737 74745639 84801123 91355781 129821373 224236917 254403369 274067343 763210107 822202029 2466606087 6568728349 19706185047 59118555141 72256011839 124805838631 177355665423 216768035517 374417515893 532066996269 650304106551 1123252547679 1372864224941 1950912319653 3369757643037 4118592674823 5852736958959 10109272929111 12355778024469 37067334073407 111202002220221