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2003201032001 = 13374537411421
BaseRepresentation
bin11101001001101000000…
…101011111111101000001
321002111121112011010100212
4131021220011133331001
5230310023431011001
64132131410123505
7264504121553621
oct35115005377501
97074545133325
102003201032001
11702609839584
12284297b80595
13116b937a4850
146cd53a66881
15371940317bb
hex1d26815ff41

2003201032001 has 8 divisors (see below), whose sum is σ = 2157304422504. Its totient is φ = 1849099213440.

The previous prime is 2003201031977. The next prime is 2003201032043. The reversal of 2003201032001 is 1002301023002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20793351601 + 1982407680400 = 144199^2 + 1407980^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2003201032001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2003201032051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4663271 + ... + 5074691.

It is an arithmetic number, because the mean of its divisors is an integer number (269663052813).

Almost surely, 22003201032001 is an apocalyptic number.

It is an amenable number.

2003201032001 is a deficient number, since it is larger than the sum of its proper divisors (154103390503).

2003201032001 is a wasteful number, since it uses less digits than its factorization.

2003201032001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785971.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 2003201032001 its reverse (1002301023002), we get a palindrome (3005502055003).

It can be divided in two parts, 200320 and 1032001, that added together give a palindrome (1232321).

The spelling of 2003201032001 in words is "two trillion, three billion, two hundred one million, thirty-two thousand, one".

Divisors: 1 13 374537 411421 4868981 5348473 154092387077 2003201032001