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210112121102121 = 32737508911771201
BaseRepresentation
bin101111110001100010001010…
…010101110101111100101001
31000112221112002222111102212200
4233301202022111311330221
5210014434111000231441
62022512101554530413
762154046142425560
oct5761421225657451
91015845088442780
10210112121102121
1160a48060828937
121b695178296a09
1390316461b00c4
1439c56a3916bd7
15194577240e7b6
hexbf188a575f29

210112121102121 has 48 divisors (see below), whose sum is σ = 356233328151168. Its totient is φ = 116816732928000.

The previous prime is 210112121102111. The next prime is 210112121102137. The reversal of 210112121102121 is 121201121211012.

It is a happy number.

210112121102121 is a `hidden beast` number, since 210 + 1 + 121 + 211 + 0 + 2 + 121 = 666.

It is not a de Polignac number, because 210112121102121 - 239 = 209562365288233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210112121102094 and 210112121102103.

It is not an unprimeable number, because it can be changed into a prime (210112121102111) 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, 117741321 + ... + 119512521.

It is an arithmetic number, because the mean of its divisors is an integer number (7421527669816).

Almost surely, 2210112121102121 is an apocalyptic number.

210112121102121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

210112121102121 is a deficient number, since it is larger than the sum of its proper divisors (146121207049047).

210112121102121 is a wasteful number, since it uses less digits than its factorization.

210112121102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822142 (or 1822139 counting only the distinct ones).

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

Adding to 210112121102121 its reverse (121201121211012), we get a palindrome (331313242313133).

The spelling of 210112121102121 in words is "two hundred ten trillion, one hundred twelve billion, one hundred twenty-one million, one hundred two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 50891 152673 356237 458019 1068711 1771201 1882967 3206133 5313603 5648901 12398407 13180769 15940809 16946703 37195221 39542307 65534437 111585663 118626921 196603311 458741059 589809933 1376223177 4128669531 90138190091 270414570273 630967330637 811243710819 1892901991911 3335113033367 5678705975733 10005339100101 23345791233569 30016017300303 70037373700707 210112121102121