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22013012010000 = 2435411229291293
BaseRepresentation
bin1010000000101010011011…
…10000101110010000010000
32212221102102122200221201010
411000111031300232100100
510341130122033310000
6114452345455410520
74431246646545114
oct500251560562020
985842378627633
1022013012010000
1170177364465a0
122576329223a40
13c38a835634bb
14561614cc1744
15282920388d50
hex14054dc2e410

22013012010000 has 400 divisors, whose sum is σ = 77859810135360. Its totient is φ = 5313166080000.

The previous prime is 22013012009999. The next prime is 22013012010137. The reversal of 22013012010000 is 1021031022.

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 (12).

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, 75424354 + ... + 75715646.

Almost surely, 222013012010000 is an apocalyptic number.

22013012010000 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 22013012010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38929905067680).

22013012010000 is an abundant number, since it is smaller than the sum of its proper divisors (55846798125360).

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

22013012010000 is a wasteful number, since it uses less digits than its factorization.

22013012010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291564 (or 291543 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 22013012010000 its reverse (1021031022), we get a palindrome (22014033041022).

The spelling of 22013012010000 in words is "twenty-two trillion, thirteen billion, twelve million, ten thousand".