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200012100210 = 2325132315434817
BaseRepresentation
bin1011101001000110100…
…1100111001001110010
3201010021012001102212100
42322101221213021302
511234111044201320
6231515001241230
720310325541406
oct2722151471162
9633235042770
10200012100210
117790868627a
123291b793216
1315b26997970
149975951106
155309564790
hex2e91a67272

200012100210 has 192 divisors, whose sum is σ = 584883307008. Its totient is φ = 47052859392.

The previous prime is 200012100191. The next prime is 200012100221. The reversal of 200012100210 is 12001210002.

200012100210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 200012100192 and 200012100201.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 41519722 + ... + 41524538.

It is an arithmetic number, because the mean of its divisors is an integer number (3046267224).

Almost surely, 2200012100210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200012100210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292441653504).

200012100210 is an abundant number, since it is smaller than the sum of its proper divisors (384871206798).

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

200012100210 is a wasteful number, since it uses less digits than its factorization.

200012100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6409 (or 6406 counting only the distinct ones).

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

Adding to 200012100210 its reverse (12001210002), we get a palindrome (212013310212).

The spelling of 200012100210 in words is "two hundred billion, twelve million, one hundred thousand, two hundred ten".