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20031023311200 = 25325211219263691
BaseRepresentation
bin1001000110111110101100…
…00001110110100101100000
32121220221120110022000002200
410203133112001312211200
510111142013431424300
6110334043003213200
74135123300561206
oct443372601664540
977827513260080
1020031023311200
1164231224a6a00
1222b6191217200
13b23bc0688605
144d3714561076
1524b0bd748200
hex1237d6076960

20031023311200 has 972 divisors, whose sum is σ = 81942101674524. Its totient is φ = 4600354176000.

The previous prime is 20031023311199. The next prime is 20031023311231. The reversal of 20031023311200 is 211332013002.

20031023311200 is a `hidden beast` number, since 2 + 0 + 0 + 310 + 2 + 331 + 1 + 20 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 314471355 + ... + 314535045.

Almost surely, 220031023311200 is an apocalyptic number.

20031023311200 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 20031023311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40971050837262).

20031023311200 is an abundant number, since it is smaller than the sum of its proper divisors (61911078363324).

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

20031023311200 is a wasteful number, since it uses less digits than its factorization.

20031023311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63777 (or 63731 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20031023311200 its reverse (211332013002), we get a palindrome (20242355324202).

The spelling of 20031023311200 in words is "twenty trillion, thirty-one billion, twenty-three million, three hundred eleven thousand, two hundred".