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10020242014110 = 23251717383945121
BaseRepresentation
bin1001000111010000010011…
…1101110011111110011110
31022110220222220011010000200
42101310010331303332132
52303132423423422420
633151122521404330
72052636636542556
oct221640475637636
938426886133020
1010020242014110
1132136194318a9
121159ba69396a6
13578b9ba0a973
14268da7612166
151259b2066b90
hex91d04f73f9e

10020242014110 has 192 divisors, whose sum is σ = 27778272762240. Its totient is φ = 2497311866880.

The previous prime is 10020242014099. The next prime is 10020242014169. The reversal of 10020242014110 is 1141024202001.

10020242014110 is a `hidden beast` number, since 1 + 0 + 0 + 202 + 420 + 1 + 41 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 222052350 + ... + 222097470.

It is an arithmetic number, because the mean of its divisors is an integer number (144678503970).

Almost surely, 210020242014110 is an apocalyptic number.

10020242014110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020242014110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13889136381120).

10020242014110 is an abundant number, since it is smaller than the sum of its proper divisors (17758030748130).

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

10020242014110 is a wasteful number, since it uses less digits than its factorization.

10020242014110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46163 (or 46160 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10020242014110 its reverse (1141024202001), we get a palindrome (11161266216111).

The spelling of 10020242014110 in words is "ten trillion, twenty billion, two hundred forty-two million, fourteen thousand, one hundred ten".