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7001007001 = 10170019901
BaseRepresentation
bin1101000010100101…
…01110001110011001
3200001220122000010121
412201102232032121
5103314224211001
63114411513241
7335330402062
oct64122561631
920056560117
107001007001
112a729821aa
121434758821
138775993c1
144a5b3d569
152ae9676a1
hex1a14ae399

7001007001 has 8 divisors (see below), whose sum is σ = 7072048008. Its totient is φ = 6930000000.

The previous prime is 7001006989. The next prime is 7001007019. The reversal of 7001007001 is 1007001007.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4558275225 + 2442731776 = 67515^2 + 49424^2 .

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 7001007001 - 221 = 6998909849 is a prime.

It is a super-3 number, since 3×70010070013 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7001007061) 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, 702151 + ... + 712051.

It is an arithmetic number, because the mean of its divisors is an integer number (884006001).

Almost surely, 27001007001 is an apocalyptic number.

It is an amenable number.

7001007001 is a deficient number, since it is larger than the sum of its proper divisors (71041007).

7001007001 is a wasteful number, since it uses less digits than its factorization.

7001007001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17003.

The product of its (nonzero) digits is 49, while the sum is 16.

The square root of 7001007001 is about 83672.0204190146. The cubic root of 7001007001 is about 1913.0229080700.

Adding to 7001007001 its reverse (1007001007), we get a palindrome (8008008008).

It can be divided in two parts, 700100 and 7001, that multiplied together give a square (4901400100 = 700102).

The spelling of 7001007001 in words is "seven billion, one million, seven thousand, one".

Divisors: 1 101 7001 9901 707101 1000001 69316901 7001007001