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212020210010000 = 2454710193297151
BaseRepresentation
bin110000001101010011001101…
…010011011000011110010000
31000210200221012222102001011202
4300031103031103120132100
5210242214342230310000
62030532423450130332
762441645311512140
oct6015231523303620
91023627188361152
10212020210010000
11616132a2216857
121b942b2b4209a8
13913c55ca06962
143a4db93754920
15197a1eb3b0dd5
hexc0d4cd4d8790

212020210010000 has 200 divisors, whose sum is σ = 586713392415744. Its totient is φ = 72685267200000.

The previous prime is 212020210009997. The next prime is 212020210010003. The reversal of 212020210010000 is 10012020212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212020210009997) and next prime (212020210010003).

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×2120202100100003 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (212020210010003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 713361425 + ... + 713658575.

Almost surely, 2212020210010000 is an apocalyptic number.

212020210010000 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 212020210010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293356696207872).

212020210010000 is an abundant number, since it is smaller than the sum of its proper divisors (374693182405744).

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

212020210010000 is a wasteful number, since it uses less digits than its factorization.

212020210010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307379 (or 307358 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212020210010000 its reverse (10012020212), we get a palindrome (212030222030212).

The spelling of 212020210010000 in words is "two hundred twelve trillion, twenty billion, two hundred ten million, ten thousand".