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200210212110102 = 23232263624738393
BaseRepresentation
bin101101100001011100010010…
…100100101011111100010110
3222020212220112220210200112220
4231201130102210223330112
5202220221003300010402
61545451145100323210
760112465460626335
oct5541342244537426
9866786486720486
10200210212110102
115887a7462a2a67
121a5560b6b43506
13879398520294c
1437623240bdd1c
151822dd8d1ddbc
hexb6171292bf16

200210212110102 has 96 divisors (see below), whose sum is σ = 420256738395648. Its totient is φ = 63580585166208.

The previous prime is 200210212110061. The next prime is 200210212110109. The reversal of 200210212110102 is 201011212012002.

200210212110102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200210212110109) 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, 5214739018 + ... + 5214777410.

It is an arithmetic number, because the mean of its divisors is an integer number (4377674358288).

Almost surely, 2200210212110102 is an apocalyptic number.

200210212110102 is an abundant number, since it is smaller than the sum of its proper divisors (220046526285546).

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

200210212110102 is a wasteful number, since it uses less digits than its factorization.

200210212110102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44954 (or 44931 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 200210212110102 its reverse (201011212012002), we get a palindrome (401221424122104).

The spelling of 200210212110102 in words is "two hundred trillion, two hundred ten billion, two hundred twelve million, one hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 23 46 69 138 263 526 529 789 1058 1578 1587 3174 6049 6247 12098 12494 18147 18741 36294 37482 38393 76786 115179 139127 143681 230358 278254 287362 417381 431043 834762 862086 883039 1642961 1766078 2649117 3285922 3304663 4928883 5298234 6609326 9857766 9913989 10097359 19827978 20194718 20309897 30292077 37788103 40619794 60584154 60929691 75576206 113364309 121859382 226728618 232239257 239841071 464478514 479682142 696717771 719523213 869126369 1393435542 1439046426 1738252738 2607379107 5214758214 5341502911 5516344633 10683005822 11032689266 16024508733 16549033899 32049017466 33098067798 63078201673 126156403346 126875926559 189234605019 253751853118 378469210038 380627779677 761255559354 1450798638479 2901597276958 4352395915437 8704791830874 33368368685017 66736737370034 100105106055051 200210212110102