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10011201300020 = 225192331181204143
BaseRepresentation
bin1001000110101110101000…
…0110001110011000110100
31022110001122211110020210002
42101223222012032120310
52303010420013100040
633143025443450432
72052166621000544
oct221535206163064
938401584406702
1010011201300020
11320a7aa162568
1211582a3086a18
1357808a9a3abb
1426878aa3d324
151256334e6a15
hex91aea18e634

10011201300020 has 192 divisors, whose sum is σ = 23968922664960. Its totient is φ = 3492298022400.

The previous prime is 10011201300019. The next prime is 10011201300041. The reversal of 10011201300020 is 2000310211001.

It is a junction number, because it is equal to n+sod(n) for n = 10011201299974 and 10011201300010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48938069 + ... + 49142211.

It is an arithmetic number, because the mean of its divisors is an integer number (124838138880).

Almost surely, 210011201300020 is an apocalyptic number.

10011201300020 is a gapful number since it is divisible by the number (10) 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 10011201300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11984461332480).

10011201300020 is an abundant number, since it is smaller than the sum of its proper divisors (13957721364940).

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

10011201300020 is a wasteful number, since it uses less digits than its factorization.

10011201300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204406 (or 204404 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10011201300020 its reverse (2000310211001), we get a palindrome (12011511511021).

The spelling of 10011201300020 in words is "ten trillion, eleven billion, two hundred one million, three hundred thousand, twenty".