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100011111093 = 3211112345677
BaseRepresentation
bin101110100100100100…
…0000111001010110101
3100120010221112211210200
41131021020013022311
53114310321023333
6113540001111113
710140240263235
oct1351110071265
9316127484720
10100011111093
1139461735023
1217471628499
13957abccc5a
144baa713cc5
1529051d1c13
hex17492072b5

100011111093 has 6 divisors (see below), whose sum is σ = 144460493814. Its totient is φ = 66674074056.

The previous prime is 100011111047. The next prime is 100011111103. The reversal of 100011111093 is 390111110001.

It can be written as a sum of positive squares in only one way, i.e., 59602874769 + 40408236324 = 244137^2 + 201018^2 .

It is not a de Polignac number, because 100011111093 - 212 = 100011106997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011111793) 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 5 ways as a sum of consecutive naturals, for example, 5556172830 + ... + 5556172847.

It is an arithmetic number, because the mean of its divisors is an integer number (24076748969).

Almost surely, 2100011111093 is an apocalyptic number.

It is an amenable number.

100011111093 is a deficient number, since it is larger than the sum of its proper divisors (44449382721).

100011111093 is a wasteful number, since it uses less digits than its factorization.

100011111093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11112345683 (or 11112345680 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 18.

Adding to 100011111093 its reverse (390111110001), we get a palindrome (490122221094).

The spelling of 100011111093 in words is "one hundred billion, eleven million, one hundred eleven thousand, ninety-three".

Divisors: 1 3 9 11112345677 33337037031 100011111093