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2002030202320 = 245191131022919
BaseRepresentation
bin11101001000100010010…
…011001000110111010000
321002101120221000210222121
4131020202103020313100
5230300124212433240
64131415303144024
7264433113640201
oct35104223106720
97071527023877
102002030202320
11702068946945
1228400ba45014
13116a38054815
146cc8236b5a8
153712635904a
hex1d2224c8dd0

2002030202320 has 40 divisors (see below), whose sum is σ = 4679090519040. Its totient is φ = 796619341440.

The previous prime is 2002030202297. The next prime is 2002030202329. The reversal of 2002030202320 is 232020302002.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 2002030202294 and 2002030202303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002030202329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65496180 + ... + 65526739.

It is an arithmetic number, because the mean of its divisors is an integer number (116977262976).

Almost surely, 22002030202320 is an apocalyptic number.

2002030202320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002030202320 is an abundant number, since it is smaller than the sum of its proper divisors (2677060316720).

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

2002030202320 is a wasteful number, since it uses less digits than its factorization.

2002030202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131023123 (or 131023117 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 2002030202320 its reverse (232020302002), we get a palindrome (2234050504322).

The spelling of 2002030202320 in words is "two trillion, two billion, thirty million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 191 382 764 955 1528 1910 3056 3820 7640 15280 131022919 262045838 524091676 655114595 1048183352 1310229190 2096366704 2620458380 5240916760 10481833520 25025377529 50050755058 100101510116 125126887645 200203020232 250253775290 400406040464 500507550580 1001015101160 2002030202320