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200121210 = 232517312853
BaseRepresentation
bin10111110110110…
…01101101111010
3111221120012200200
423323121231322
5402212334320
631505143030
74650000522
oct1373315572
9457505620
10200121210
11a2a66033
125702aa76
13325ca523
141c814682
1512880290
hexbed9b7a

200121210 has 48 divisors (see below), whose sum is σ = 523363464. Its totient is φ = 53053056.

The previous prime is 200121209. The next prime is 200121211. The reversal of 200121210 is 12121002.

200121210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200121209) and next prime (200121211).

It can be written as a sum of positive squares in 4 ways, for example, as 175589001 + 24532209 = 13251^2 + 4953^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 200121192 and 200121201.

It is not an unprimeable number, because it can be changed into a prime (200121211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9144 + ... + 21996.

Almost surely, 2200121210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200121210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261681732).

200121210 is an abundant number, since it is smaller than the sum of its proper divisors (323242254).

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

200121210 is a wasteful number, since it uses less digits than its factorization.

200121210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13039 (or 13036 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 200121210 is about 14146.4203952802. The cubic root of 200121210 is about 584.9216638477.

Adding to 200121210 its reverse (12121002), we get a palindrome (212242212).

The spelling of 200121210 in words is "two hundred million, one hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 173 346 519 865 1038 1557 1730 2595 3114 5190 7785 12853 15570 25706 38559 64265 77118 115677 128530 192795 231354 385590 578385 1156770 2223569 4447138 6670707 11117845 13341414 20012121 22235690 33353535 40024242 66707070 100060605 200121210