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110001006004 = 22171617661853
BaseRepresentation
bin110011001110010010…
…0100010010110110100
3101111221011022002100111
41212130210202112310
53300240224143004
6122311143152404
710642633060261
oct1463444422664
9344834262314
10110001006004
1142718777a1a
121939b145704
13a4b078ca86
1454773a6268
152cdc245a04
hex199c9225b4

110001006004 has 12 divisors (see below), whose sum is σ = 203825393604. Its totient is φ = 51765179264.

The previous prime is 110001006001. The next prime is 110001006043. The reversal of 110001006004 is 400600100011.

It can be written as a sum of positive squares in 2 ways, for example, as 87112341904 + 22888664100 = 295148^2 + 151290^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110001006001) 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 3 ways as a sum of consecutive naturals, for example, 808830859 + ... + 808830994.

It is an arithmetic number, because the mean of its divisors is an integer number (16985449467).

Almost surely, 2110001006004 is an apocalyptic number.

It is an amenable number.

110001006004 is a deficient number, since it is larger than the sum of its proper divisors (93824387600).

110001006004 is a wasteful number, since it uses less digits than its factorization.

110001006004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617661874 (or 1617661872 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 110001006004 its reverse (400600100011), we get a palindrome (510601106015).

The spelling of 110001006004 in words is "one hundred ten billion, one million, six thousand, four".

Divisors: 1 2 4 17 34 68 1617661853 3235323706 6470647412 27500251501 55000503002 110001006004