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3002203023001 = 721322291583149
BaseRepresentation
bin101011101100000001001…
…111101010011010011001
3101122000012200122102212121
4223230001033222122121
5343142002433214001
610215105405541241
7426621250433500
oct53540117523231
911560180572777
103002203023001
11a58255380546
12405a1b874821
1318a15007c500
14a544371d837
1553162d5b6a1
hex2bb013ea699

3002203023001 has 36 divisors (see below), whose sum is σ = 3798182659500. Its totient is φ = 2364995138688.

The previous prime is 3002203022983. The next prime is 3002203023031. The reversal of 3002203023001 is 1003203022003.

3002203023001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 40967784025 + 2961235238976 = 202405^2 + 1720824^2 .

It is a de Polignac number, because none of the positive numbers 2k-3002203023001 is a prime.

It is a super-3 number, since 3×30022030230013 (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3002203023031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1104775 + ... + 2687923.

It is an arithmetic number, because the mean of its divisors is an integer number (105505073875).

Almost surely, 23002203023001 is an apocalyptic number.

It is an amenable number.

3002203023001 is a deficient number, since it is larger than the sum of its proper divisors (795979636499).

3002203023001 is a wasteful number, since it uses less digits than its factorization.

3002203023001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583418 (or 1583398 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 3002203023001 its reverse (1003203022003), we get a palindrome (4005406045004).

The spelling of 3002203023001 in words is "three trillion, two billion, two hundred three million, twenty-three thousand, one".

Divisors: 1 7 13 49 91 169 229 637 1183 1603 2977 8281 11221 20839 38701 145873 270907 1583149 1896349 11082043 20580937 77574301 144066559 267552181 362541121 1008465913 1872865267 2537787847 4713034573 13110056869 17764514929 32991242011 61269449449 230938694077 428886146143 3002203023001