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22010020010000 = 2454111401114281
BaseRepresentation
bin1010000000100100110110…
…11011001001100000010000
32212221010201010201121022022
411000102123123021200100
510341103010110310000
6114451132534431012
74431112546142051
oct500223333114020
985833633647268
1022010020010000
11701644054a720
122575833202468
13c386c77203b9
1456140d79c728
152827e7875585
hex14049b6c9810

22010020010000 has 200 divisors, whose sum is σ = 58141084872288. Its totient is φ = 8002512000000.

The previous prime is 22010020009891. The next prime is 22010020010009. The reversal of 22010020010000 is 1002001022.

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

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 22010020010000.

It is not an unprimeable number, because it can be changed into a prime (22010020010009) 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, 1541202860 + ... + 1541217140.

Almost surely, 222010020010000 is an apocalyptic number.

22010020010000 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 22010020010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29070542436144).

22010020010000 is an abundant number, since it is smaller than the sum of its proper divisors (36131064862288).

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

22010020010000 is a wasteful number, since it uses less digits than its factorization.

22010020010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28331 (or 28310 counting only the distinct ones).

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

Adding to 22010020010000 its reverse (1002001022), we get a palindrome (22011022011022).

The spelling of 22010020010000 in words is "twenty-two trillion, ten billion, twenty million, ten thousand".