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2002323100104 = 233227810043057
BaseRepresentation
bin11101001000110011110…
…000011101000111001000
321002102100100011120012200
4131020303300131013020
5230301224203200404
64131504325040200
7264443301346455
oct35106360350710
97072310146180
102002323100104
117021a920a328
12284091b56060
13116a83936a12
146ccad21282c
1537141e13839
hex1d233c1d1c8

2002323100104 has 24 divisors (see below), whose sum is σ = 5422958396310. Its totient is φ = 667441033344.

The previous prime is 2002323100081. The next prime is 2002323100123. The reversal of 2002323100104 is 4010013232002.

2002323100104 is a `hidden beast` number, since 20 + 0 + 232 + 310 + 0 + 104 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1090775537604 + 911547562500 = 1044402^2 + 954750^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 13905021457 + ... + 13905021600.

Almost surely, 22002323100104 is an apocalyptic number.

2002323100104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2002323100104 is an abundant number, since it is smaller than the sum of its proper divisors (3420635296206).

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

2002323100104 is a wasteful number, since it uses less digits than its factorization.

2002323100104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27810043069 (or 27810043062 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2002323100104 its reverse (4010013232002), we get a palindrome (6012336332106).

The spelling of 2002323100104 in words is "two trillion, two billion, three hundred twenty-three million, one hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 27810043057 55620086114 83430129171 111240172228 166860258342 222480344456 250290387513 333720516684 500580775026 667441033368 1001161550052 2002323100104