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2002031033112 = 23321127719334721
BaseRepresentation
bin11101001000100010010…
…110010011101100011000
321002101120222121000121200
4131020202112103230120
5230300124421024422
64131415333034200
7264433124000265
oct35104226235430
97071528530550
102002031033112
11702069364050
12284010185960
13116a38285a06
146cc8250626c
15371264702ac
hex1d222593b18

2002031033112 has 192 divisors, whose sum is σ = 5940775020960. Its totient is φ = 604045209600.

The previous prime is 2002031033089. The next prime is 2002031033129. The reversal of 2002031033112 is 2113301302002.

2002031033112 is a `hidden beast` number, since 2 + 0 + 0 + 20 + 310 + 331 + 1 + 2 = 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 47 ways as a sum of consecutive naturals, for example, 424066912 + ... + 424071632.

Almost surely, 22002031033112 is an apocalyptic number.

2002031033112 is a gapful number since it is divisible by the number (22) 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 2002031033112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970387510480).

2002031033112 is an abundant number, since it is smaller than the sum of its proper divisors (3938743987848).

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

2002031033112 is a wasteful number, since it uses less digits than its factorization.

2002031033112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6954 (or 6947 counting only the distinct ones).

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

Adding to 2002031033112 its reverse (2113301302002), we get a palindrome (4115332335114).

The spelling of 2002031033112 in words is "two trillion, two billion, thirty-one million, thirty-three thousand, one hundred twelve".