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107012009 = 13194110567
BaseRepresentation
bin1100110000011…
…01111110101001
321110100202212202
412120031332221
5204343341014
614341345545
72436405236
oct630157651
9243322782
10107012009
1155450785
122ba082b5
131922a320
14102d878d
1595dc3de
hex660dfa9

107012009 has 16 divisors (see below), whose sum is σ = 124279680. Its totient is φ = 91290240.

The previous prime is 107011979. The next prime is 107012033. The reversal of 107012009 is 900210701.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-107012009 is a prime.

It is a super-2 number, since 2×1070120092 = 22903140140432162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107012089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4844 + ... + 15410.

It is an arithmetic number, because the mean of its divisors is an integer number (7767480).

Almost surely, 2107012009 is an apocalyptic number.

107012009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

107012009 is a deficient number, since it is larger than the sum of its proper divisors (17267671).

107012009 is a wasteful number, since it uses less digits than its factorization.

107012009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10640.

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 107012009 is about 10344.6608934271. The cubic root of 107012009 is about 474.7637000103.

The spelling of 107012009 in words is "one hundred seven million, twelve thousand, nine".

Divisors: 1 13 19 41 247 533 779 10127 10567 137371 200773 433247 2610049 5632211 8231693 107012009