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1002100007 is a prime number
BaseRepresentation
bin111011101110101…
…101010100100111
32120211121221210002
4323232231110213
54023014200012
6243234251515
733555465236
oct7356552447
92524557702
101002100007
11474728627
1223b726b9b
1312c7c3cac
1497136b1d
155ce987c2
hex3bbad527

1002100007 has 2 divisors, whose sum is σ = 1002100008. Its totient is φ = 1002100006.

The previous prime is 1002099997. The next prime is 1002100013. The reversal of 1002100007 is 7000012001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1002100007 - 220 = 1001051431 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002100507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501050003 + 501050004.

It is an arithmetic number, because the mean of its divisors is an integer number (501050004).

Almost surely, 21002100007 is an apocalyptic number.

1002100007 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002100007 is an equidigital number, since it uses as much as digits as its factorization.

1002100007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 1002100007 is about 31655.9632139033. The cubic root of 1002100007 is about 1000.6995129009.

Adding to 1002100007 its reverse (7000012001), we get a palindrome (8002112008).

The spelling of 1002100007 in words is "one billion, two million, one hundred thousand, seven".