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2015002020200 = 2352131773624497
BaseRepresentation
bin11101010100100111011…
…110101100100101101000
321010122001221210102211212
4131110213132230211220
5231003211004121300
64141402410212252
7265402425400211
oct35244736544550
97118057712755
102015002020200
11707615122694
12286630124088
13118024639ac0
146d75307c408
1537635090935
hex1d5277ac968

2015002020200 has 192 divisors, whose sum is σ = 5415221997360. Its totient is φ = 690642616320.

The previous prime is 2015002020197. The next prime is 2015002020209. The reversal of 2015002020200 is 20202005102.

It can be written as a sum of positive squares in 24 ways, for example, as 108719235076 + 1906282785124 = 329726^2 + 1380682^2 .

It is not an unprimeable number, because it can be changed into a prime (2015002020209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2914352 + ... + 3538848.

Almost surely, 22015002020200 is an apocalyptic number.

2015002020200 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 2015002020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707610998680).

2015002020200 is an abundant number, since it is smaller than the sum of its proper divisors (3400219977160).

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

2015002020200 is a wasteful number, since it uses less digits than its factorization.

2015002020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624616 (or 624607 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

Adding to 2015002020200 its reverse (20202005102), we get a palindrome (2035204025302).

The spelling of 2015002020200 in words is "two trillion, fifteen billion, two million, twenty thousand, two hundred".