Search a number
-
+
10000110093 = 349123932837
BaseRepresentation
bin10010101000000110…
…11001001000001101
3221210220222020010220
421110003121020031
5130440012010333
64332145021553
7502545350631
oct112403311015
927726866126
1010000110093
11427188a7a6
121b310248b9
13c34a2860c
146ac190dc1
153d7dd08b3
hex2540d920d

10000110093 has 16 divisors (see below), whose sum is σ = 13370930496. Its totient is φ = 6648037760.

The previous prime is 10000110079. The next prime is 10000110097. The reversal of 10000110093 is 39001100001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10000110093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000110097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3523471 + ... + 3526307.

It is an arithmetic number, because the mean of its divisors is an integer number (835683156).

Almost surely, 210000110093 is an apocalyptic number.

It is an amenable number.

10000110093 is a deficient number, since it is larger than the sum of its proper divisors (3370820403).

10000110093 is a wasteful number, since it uses less digits than its factorization.

10000110093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5724.

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

Adding to 10000110093 its reverse (39001100001), we get a palindrome (49001210094).

The spelling of 10000110093 in words is "ten billion, one hundred ten thousand, ninety-three".

Divisors: 1 3 491 1473 2393 2837 7179 8511 1174963 1392967 3524889 4178901 6788941 20366823 3333370031 10000110093