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10006299314 = 2111737723103
BaseRepresentation
bin10010101000110110…
…00000001010110010
3221211100121200011022
421110123000022302
5130443103034224
64332525415442
7502652066204
oct112433001262
927740550138
1010006299314
114275327860
121b3310a582
13c360b478b
146acd22774
153d870465e
hex2546c02b2

10006299314 has 32 divisors (see below), whose sum is σ = 17805712896. Its totient is φ = 4165067520.

The previous prime is 10006299313. The next prime is 10006299341. The reversal of 10006299314 is 41399260001.

It is a super-2 number, since 2×100062993142 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10006299313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347714 + ... + 375389.

It is an arithmetic number, because the mean of its divisors is an integer number (556428528).

Almost surely, 210006299314 is an apocalyptic number.

10006299314 is a deficient number, since it is larger than the sum of its proper divisors (7799413582).

10006299314 is a wasteful number, since it uses less digits than its factorization.

10006299314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723170.

The product of its (nonzero) digits is 11664, while the sum is 35.

The spelling of 10006299314 in words is "ten billion, six million, two hundred ninety-nine thousand, three hundred fourteen".

Divisors: 1 2 11 17 22 34 37 74 187 374 407 629 814 1258 6919 13838 723103 1446206 7954133 12292751 15908266 24585502 26754811 53509622 135220261 270440522 294302921 454831787 588605842 909663574 5003149657 10006299314