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1005070107 = 31771277567
BaseRepresentation
bin111011111010000…
…010011100011011
32121001012211222210
4323322002130123
54024244220412
6243422050203
733622645356
oct7372023433
92531184883
101005070107
11476377058
12240719963
131302c3b52
14976ab29d
155d38383c
hex3be8271b

1005070107 has 16 divisors (see below), whose sum is σ = 1438912512. Its totient is φ = 621747840.

The previous prime is 1005070103. The next prime is 1005070159. The reversal of 1005070107 is 7010705001.

It is not a de Polignac number, because 1005070107 - 22 = 1005070103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005070103) 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 15 ways as a sum of consecutive naturals, for example, 135163 + ... + 142404.

It is an arithmetic number, because the mean of its divisors is an integer number (89932032).

Almost surely, 21005070107 is an apocalyptic number.

1005070107 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1005070107 is a deficient number, since it is larger than the sum of its proper divisors (433842405).

1005070107 is a wasteful number, since it uses less digits than its factorization.

1005070107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277658.

The product of its (nonzero) digits is 245, while the sum is 21.

The square root of 1005070107 is about 31702.8406771381. The cubic root of 1005070107 is about 1001.6871874642.

Adding to 1005070107 its reverse (7010705001), we get a palindrome (8015775108).

The spelling of 1005070107 in words is "one billion, five million, seventy thousand, one hundred seven".

Divisors: 1 3 17 51 71 213 1207 3621 277567 832701 4718639 14155917 19707257 59121771 335023369 1005070107