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2002300001 = 13217696937
BaseRepresentation
bin111011101011000…
…1010110001100001
312011112200101020022
41313112022301201
513100042100001
6530404123225
7100422161222
oct16726126141
95145611208
102002300001
11938278699
1247a696515
1325baa1200
1414dcd7249
15babb911b
hex7758ac61

2002300001 has 12 divisors (see below), whose sum is σ = 2295713772. Its totient is φ = 1739552256.

The previous prime is 2002299989. The next prime is 2002300007. The reversal of 2002300001 is 1000032002.

It can be written as a sum of positive squares in 6 ways, for example, as 355888225 + 1646411776 = 18865^2 + 40576^2 .

It is a de Polignac number, because none of the positive numbers 2k-2002300001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2002300007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345596 + ... + 351341.

It is an arithmetic number, because the mean of its divisors is an integer number (191309481).

Almost surely, 22002300001 is an apocalyptic number.

It is an amenable number.

2002300001 is a deficient number, since it is larger than the sum of its proper divisors (293413771).

2002300001 is a wasteful number, since it uses less digits than its factorization.

2002300001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696980 (or 696967 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2002300001 is about 44747.0669541591. The cubic root of 2002300001 is about 1260.4038348203.

Adding to 2002300001 its reverse (1000032002), we get a palindrome (3002332003).

The spelling of 2002300001 in words is "two billion, two million, three hundred thousand, one".

Divisors: 1 13 17 169 221 2873 696937 9060181 11847929 117782353 154023077 2002300001