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210106336680 = 233253722968881
BaseRepresentation
bin1100001110101101010…
…0000100010110101000
3202002022200010210010100
43003223110010112220
511420244210233210
6240304351545400
721115426252302
oct3035324042650
9662280123110
10210106336680
1181118605569
123487822b260
1316a7505b456
14a252404972
1556ea8395c0
hex30eb5045a8

210106336680 has 192 divisors, whose sum is σ = 704373555600. Its totient is φ = 54275235840.

The previous prime is 210106336673. The next prime is 210106336703. The reversal of 210106336680 is 86633601012.

210106336680 is a `hidden beast` number, since 2 + 1 + 0 + 10 + 633 + 6 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 116312374116 + 93793962564 = 341046^2 + 306258^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3015840 + ... + 3084720.

Almost surely, 2210106336680 is an apocalyptic number.

210106336680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210106336680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352186777800).

210106336680 is an abundant number, since it is smaller than the sum of its proper divisors (494267218920).

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

210106336680 is a wasteful number, since it uses less digits than its factorization.

210106336680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69164 (or 69157 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 210106336680 its reverse (86633601012), we get a palindrome (296739937692).

The spelling of 210106336680 in words is "two hundred ten billion, one hundred six million, three hundred thirty-six thousand, six hundred eighty".