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1006301114 = 27134722503
BaseRepresentation
bin111011111110101…
…110111110111010
32121010112101121122
4323332232332322
54030103113424
6243504305242
733636263330
oct7376567672
92533471548
101006301114
11477037a15
12241012222
13130635260
149790bb50
155d52845e
hex3bfaefba

1006301114 has 48 divisors (see below), whose sum is σ = 1898913408. Its totient is φ = 389471328.

The previous prime is 1006301069. The next prime is 1006301119. The reversal of 1006301114 is 4111036001.

It is a junction number, because it is equal to n+sod(n) for n = 1006301092 and 1006301101.

It is not an unprimeable number, because it can be changed into a prime (1006301119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400787 + ... + 403289.

It is an arithmetic number, because the mean of its divisors is an integer number (39560696).

Almost surely, 21006301114 is an apocalyptic number.

1006301114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1006301114 is a deficient number, since it is larger than the sum of its proper divisors (892612294).

1006301114 is a wasteful number, since it uses less digits than its factorization.

1006301114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 1006301114 is about 31722.2495103988. The cubic root of 1006301114 is about 1002.0959751522.

Adding to 1006301114 its reverse (4111036001), we get a palindrome (5117337115).

The spelling of 1006301114 in words is "one billion, six million, three hundred one thousand, one hundred fourteen".

Divisors: 1 2 7 13 14 26 47 91 94 182 329 611 658 1222 2209 2503 4277 4418 5006 8554 15463 17521 28717 30926 32539 35042 57434 65078 117641 201019 227773 235282 402038 455546 823487 1529333 1646974 3058666 5529127 10705331 11058254 21410662 38703889 71878651 77407778 143757302 503150557 1006301114