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1001100093 = 37235339107
BaseRepresentation
bin111011101010111…
…001001100111101
32120202202011011020
4323222321030331
54022240200333
6243201014353
733544132110
oct7352711475
92522664136
101001100093
11474105354
1223b3243b9
1312c533b26
1496d56577
155cd4c3b3
hex3bab933d

1001100093 has 32 divisors (see below), whose sum is σ = 1621886976. Its totient is φ = 536847168.

The previous prime is 1001100091. The next prime is 1001100127. The reversal of 1001100093 is 3900011001.

It is not a de Polignac number, because 1001100093 - 21 = 1001100091 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001100091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6046 + ... + 45152.

It is an arithmetic number, because the mean of its divisors is an integer number (50683968).

Almost surely, 21001100093 is an apocalyptic number.

It is an amenable number.

1001100093 is a deficient number, since it is larger than the sum of its proper divisors (620786883).

1001100093 is a wasteful number, since it uses less digits than its factorization.

1001100093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39193.

The product of its (nonzero) digits is 27, while the sum is 15.

The square root of 1001100093 is about 31640.1658181496. The cubic root of 1001100093 is about 1000.3665632816.

Adding to 1001100093 its reverse (3900011001), we get a palindrome (4901111094).

The spelling of 1001100093 in words is "one billion, one million, one hundred thousand, ninety-three".

Divisors: 1 3 7 21 23 53 69 159 161 371 483 1113 1219 3657 8533 25599 39107 117321 273749 821247 899461 2072671 2698383 6218013 6296227 14508697 18888681 43526091 47671433 143014299 333700031 1001100093