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2002110002200 = 2352731117156071
BaseRepresentation
bin11101001000100111000…
…011100011010000011000
321002101210111012001211201
4131020213003203100120
5230300310130032300
64131431233403544
7264435103141000
oct35104703432030
97071714161751
102002110002200
117020a99a0760
122840327095b4
13116a4b744a99
146cc8cbc1000
153712d36d66a
hex1d2270e3418

2002110002200 has 384 divisors, whose sum is σ = 6270348672000. Its totient is φ = 587322624000.

The previous prime is 2002110002159. The next prime is 2002110002239. The reversal of 2002110002200 is 22000112002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 12750165 + ... + 12906235.

It is an arithmetic number, because the mean of its divisors is an integer number (16329033000).

Almost surely, 22002110002200 is an apocalyptic number.

2002110002200 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 2002110002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135174336000).

2002110002200 is an abundant number, since it is smaller than the sum of its proper divisors (4268238669800).

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

2002110002200 is a wasteful number, since it uses less digits than its factorization.

2002110002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156136 (or 156113 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2002110002200 its reverse (22000112002), we get a palindrome (2024110114202).

The spelling of 2002110002200 in words is "two trillion, two billion, one hundred ten million, two thousand, two hundred".