Search a number
-
+
110212210112121 = 32132965774938761
BaseRepresentation
bin11001000011110011000111…
…101000100011011001111001
3112110020011222102022102121100
4121003303013220203121321
5103421204101242041441
61030222442415002013
732133366210642225
oct3103630750433171
9473204872272540
10110212210112121
1132131810422347
121043ba46209309
134965c75140040
141d304298d5785
15cb1d14aaccb6
hex643cc7a23679

110212210112121 has 48 divisors (see below), whose sum is σ = 177379983340560. Its totient is φ = 65474208092160.

The previous prime is 110212210112119. The next prime is 110212210112227. The reversal of 110212210112121 is 121211012212011.

It is a happy number.

110212210112121 is a `hidden beast` number, since 1 + 10 + 212 + 210 + 112 + 121 = 666.

110212210112121 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 136021553721 + 110076188558400 = 368811^2 + 10491720^2 .

It is not a de Polignac number, because 110212210112121 - 21 = 110212210112119 is a prime.

It is a super-2 number, since 2×1102122101121212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110212210112094 and 110212210112103.

It is not an unprimeable number, because it can be changed into a prime (110212210122121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19846381 + ... + 24785141.

It is an arithmetic number, because the mean of its divisors is an integer number (3695416319595).

Almost surely, 2110212210112121 is an apocalyptic number.

It is an amenable number.

110212210112121 is a deficient number, since it is larger than the sum of its proper divisors (67167773228439).

110212210112121 is a wasteful number, since it uses less digits than its factorization.

110212210112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4945386 (or 4945383 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 110212210112121 its reverse (121211012212011), we get a palindrome (231423222324132).

The spelling of 110212210112121 in words is "one hundred ten trillion, two hundred twelve billion, two hundred ten million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 13 29 39 87 117 261 377 1131 3393 6577 19731 59193 85501 190733 256503 572199 769509 1716597 2479529 4938761 7438587 14816283 22315761 44448849 64203893 143224069 192611679 429672207 577835037 1289016621 1861912897 5585738691 16757216073 32482231097 97446693291 292340079873 422269004261 941984701813 1266807012783 2825954105439 3800421038349 8477862316317 12245801123569 36737403370707 110212210112121