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2042042000202 = 232613185068153
BaseRepresentation
bin11101101101110011001…
…100000010001101001010
321020012212102021202010200
4131231303030002031022
5231424100223001302
64202033502553030
7300350463416151
oct35556314021512
97205772252120
102042042000202
117180305228a6
1228b917898776
1311a7436a8079
1470b9a32a598
15381b8dc181c
hex1db7330234a

2042042000202 has 24 divisors (see below), whose sum is σ = 4431642015684. Its totient is φ = 679570254144.

The previous prime is 2042042000177. The next prime is 2042042000263. The reversal of 2042042000202 is 2020002402402.

2042042000202 is a `hidden beast` number, since 2 + 0 + 42 + 0 + 420 + 0 + 0 + 202 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1967065155441 + 74976844761 = 1402521^2 + 273819^2 .

It is a super-3 number, since 3×20420420002023 (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92523043 + ... + 92545110.

Almost surely, 22042042000202 is an apocalyptic number.

2042042000202 is an abundant number, since it is smaller than the sum of its proper divisors (2389600015482).

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

2042042000202 is a wasteful number, since it uses less digits than its factorization.

2042042000202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185068774 (or 185068771 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 2042042000202 its reverse (2020002402402), we get a palindrome (4062044402604).

The spelling of 2042042000202 in words is "two trillion, forty-two billion, forty-two million, two hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 613 1226 1839 3678 5517 11034 185068153 370136306 555204459 1110408918 1665613377 3331226754 113446777789 226893555578 340340333367 680680666734 1021021000101 2042042000202