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10033303300020 = 2232571113237115769
BaseRepresentation
bin1001001000000000111101…
…1110101010011110110100
31022112011201011021011221200
42102000033132222132310
52303341201121100040
633201122542212500
72053611415621410
oct222001736523664
938464634234850
1010033303300020
113219111166270
121160630b84130
1357a1a09b9a00
14269886171d40
15125ec8a72630
hex9200f7aa7b4

10033303300020 has 864 divisors, whose sum is σ = 42198265025280. Its totient is φ = 1872440893440.

The previous prime is 10033303299989. The next prime is 10033303300063. The reversal of 10033303300020 is 2000330333001.

10033303300020 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 330 + 330 + 0 + 0 + 2 + 0 = 666.

It is a super-2 number, since 2×100333033000202 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10033303299966 and 10033303300002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 86608696 + ... + 86724464.

It is an arithmetic number, because the mean of its divisors is an integer number (48840584520).

Almost surely, 210033303300020 is an apocalyptic number.

10033303300020 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 10033303300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21099132512640).

10033303300020 is an abundant number, since it is smaller than the sum of its proper divisors (32164961725260).

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

10033303300020 is a wasteful number, since it uses less digits than its factorization.

10033303300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115865 (or 115847 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 10033303300020 its reverse (2000330333001), we get a palindrome (12033633633021).

The spelling of 10033303300020 in words is "ten trillion, thirty-three billion, three hundred three million, three hundred thousand, twenty".