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210212202200112 = 24327295370621013
BaseRepresentation
bin101111110010111111010111…
…101000111011110000110000
31000120022002102210201222122200
4233302333113220323300300
5210023104042230400422
62023030052540103200
762164221222632430
oct5762772750736060
91016262383658580
10210212202200112
1160a86548a15072
121b6b0649234b00
13903ac05745908
1439ca4796482c0
15194817d8182ac
hexbf2fd7a3bc30

210212202200112 has 120 divisors (see below), whose sum is σ = 672573068547744. Its totient is φ = 60040289498112.

The previous prime is 210212202200069. The next prime is 210212202200123. The reversal of 210212202200112 is 211002202212012.

It is a happy number.

210212202200112 is a `hidden beast` number, since 210 + 2 + 1 + 220 + 220 + 0 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32333883 + ... + 38287130.

Almost surely, 2210212202200112 is an apocalyptic number.

It is an amenable number.

210212202200112 is an abundant number, since it is smaller than the sum of its proper divisors (462360866347632).

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

210212202200112 is a wasteful number, since it uses less digits than its factorization.

210212202200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70623987 (or 70623978 counting only the distinct ones).

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

Adding to 210212202200112 its reverse (211002202212012), we get a palindrome (421214404412124).

The spelling of 210212202200112 in words is "two hundred ten trillion, two hundred twelve billion, two hundred two million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2953 5906 8859 11812 17718 20671 23624 26577 35436 41342 47248 53154 62013 70872 82684 106308 124026 141744 165368 186039 212616 248052 330736 372078 425232 496104 744156 992208 1488312 2976624 70621013 141242026 211863039 282484052 423726078 494347091 564968104 635589117 847452156 988694182 1129936208 1271178234 1483041273 1694904312 1977388364 2542356468 2966082546 3389808624 3954776728 4449123819 5084712936 5932165092 7909553456 8898247638 10169425872 11864330184 17796495276 23728660368 35592990552 71185981104 208543851389 417087702778 625631554167 834175405556 1251263108334 1459806959723 1668350811112 1876894662501 2502526216668 2919613919446 3336701622224 3753789325002 4379420879169 5005052433336 5839227838892 7507578650004 8758841758338 10010104866672 11678455677784 13138262637507 15015157300008 17517683516676 23356911355568 26276525275014 30030314600016 35035367033352 52553050550028 70070734066704 105106101100056 210212202200112