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2002021200200 = 2352729383128749
BaseRepresentation
bin11101001000100001110…
…000110011000101001000
321002101120022002110101202
4131020201300303011020
5230300114411401300
64131414342203332
7264432644265020
oct35104160630510
97071508073352
102002021200200
1170206385847a
12284008a23548
13116a36222218
146cc810a6a80
153712567bad5
hex1d221c33148

2002021200200 has 192 divisors, whose sum is σ = 5517504000000. Its totient is φ = 661002531840.

The previous prime is 2002021200191. The next prime is 2002021200217. The reversal of 2002021200200 is 20021202002.

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, 15485426 + ... + 15614174.

It is an arithmetic number, because the mean of its divisors is an integer number (28737000000).

Almost surely, 22002021200200 is an apocalyptic number.

2002021200200 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 2002021200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758752000000).

2002021200200 is an abundant number, since it is smaller than the sum of its proper divisors (3515482799800).

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

2002021200200 is a wasteful number, since it uses less digits than its factorization.

2002021200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129184 (or 129175 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2002021200200 its reverse (20021202002), we get a palindrome (2022042402202).

The spelling of 2002021200200 in words is "two trillion, two billion, twenty-one million, two hundred thousand, two hundred".