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2002031203120 = 2451321710186243
BaseRepresentation
bin11101001000100010010…
…110111101001100110000
321002101120222220122211021
4131020202112331030300
5230300124441444440
64131415340425224
7264433125306034
oct35104226751460
97071528818737
102002031203120
1170206946a853
12284010248214
13116a38315200
146cc8254c1c4
15371264a584a
hex1d2225bd330

2002031203120 has 240 divisors, whose sum is σ = 5389712527392. Its totient is φ = 688832102400.

The previous prime is 2002031203087. The next prime is 2002031203121. The reversal of 2002031203120 is 213021302002.

It is a super-2 number, since 2×20020312031202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2002031203094 and 2002031203103.

It is not an unprimeable number, because it can be changed into a prime (2002031203121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23170719 + ... + 23256961.

Almost surely, 22002031203120 is an apocalyptic number.

2002031203120 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 2002031203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694856263696).

2002031203120 is an abundant number, since it is smaller than the sum of its proper divisors (3387681324272).

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

2002031203120 is a wasteful number, since it uses less digits than its factorization.

2002031203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86400 (or 86381 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2002031203120 its reverse (213021302002), we get a palindrome (2215052505122).

The spelling of 2002031203120 in words is "two trillion, two billion, thirty-one million, two hundred three thousand, one hundred twenty".