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1100010006 = 232232115523
BaseRepresentation
bin100000110010000…
…1101001000010110
32211122212022001100
41001210031020112
54223100310011
6301053010530
736154634154
oct10144151026
92748768040
101100010006
11514a21887
12268483a46
13146b853c4
14a61423d4
1566888d56
hex4190d216

1100010006 has 36 divisors (see below), whose sum is σ = 2491506108. Its totient is φ = 350724792.

The previous prime is 1100010001. The next prime is 1100010019. The reversal of 1100010006 is 6000100011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a self number, because there is not a number n which added to its sum of digits gives 1100010006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48240 + ... + 67283.

It is an arithmetic number, because the mean of its divisors is an integer number (69208503).

Almost surely, 21100010006 is an apocalyptic number.

1100010006 is an abundant number, since it is smaller than the sum of its proper divisors (1391496102).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1100010006 is a wasteful number, since it uses less digits than its factorization.

1100010006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115577 (or 115551 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1100010006 is about 33166.3987493367. The cubic root of 1100010006 is about 1032.2832454453.

Adding to 1100010006 its reverse (6000100011), we get a palindrome (7100110017).

The spelling of 1100010006 in words is "one billion, one hundred million, ten thousand, six".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 529 1058 1587 3174 4761 9522 115523 231046 346569 693138 1039707 2079414 2657029 5314058 7971087 15942174 23913261 47826522 61111667 122223334 183335001 366670002 550005003 1100010006