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212022211110000 = 2435437909121011
BaseRepresentation
bin110000001101010101000100…
…100100111110010001110000
31000210201010101102211110022120
4300031111010210332101300
5210242232442021010000
62030533354212434240
762442046020545004
oct6015250444762160
91023633342743276
10212022211110000
1161614129844905
121b9433a9618980
13913c7bb4778b5
143a4dd03418704
15197a2b6dde6a0
hexc0d54493e470

212022211110000 has 400 divisors, whose sum is σ = 703045017679488. Its totient is φ = 55002499200000.

The previous prime is 212022211109959. The next prime is 212022211110011. The reversal of 212022211110000 is 11112220212.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10090999495 + ... + 10091020505.

Almost surely, 2212022211110000 is an apocalyptic number.

212022211110000 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 212022211110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351522508839744).

212022211110000 is an abundant number, since it is smaller than the sum of its proper divisors (491022806569488).

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

212022211110000 is a wasteful number, since it uses less digits than its factorization.

212022211110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30170 (or 30149 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212022211110000 its reverse (11112220212), we get a palindrome (212033323330212).

The spelling of 212022211110000 in words is "two hundred twelve trillion, twenty-two billion, two hundred eleven million, one hundred ten thousand".