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2002002301 = 13193379669
BaseRepresentation
bin111011101010100…
…0010000101111101
312011112010020212101
41313111002011331
513100003033201
6530353505101
7100416511255
oct16725020575
95145106771
102002002301
11938094a62
1247a572191
1325b9c8860
1414dc5a965
15bab5ad01
hex7754217d

2002002301 has 8 divisors (see below), whose sum is σ = 2157144920. Its totient is φ = 1847022912.

The previous prime is 2002002283. The next prime is 2002002311. The reversal of 2002002301 is 1032002002.

It can be written as a sum of positive squares in 4 ways, for example, as 176491225 + 1825511076 = 13285^2 + 42726^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2002002301 - 27 = 2002002173 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002002311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14706 + ... + 64963.

It is an arithmetic number, because the mean of its divisors is an integer number (269643115).

Almost surely, 22002002301 is an apocalyptic number.

It is an amenable number.

2002002301 is a deficient number, since it is larger than the sum of its proper divisors (155142619).

2002002301 is a wasteful number, since it uses less digits than its factorization.

2002002301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81615.

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2002002301 is about 44743.7403554955. The cubic root of 2002002301 is about 1260.3413665224.

Adding to 2002002301 its reverse (1032002002), we get a palindrome (3034004303).

The spelling of 2002002301 in words is "two billion, two million, two thousand, three hundred one".

Divisors: 1 13 1933 25129 79669 1035697 154000177 2002002301