Search a number
-
+
10011101111109 = 3272193233950287
BaseRepresentation
bin1001000110101110010000…
…1000000010001101000101
31022110001101211221010102200
42101223210020002031011
52303010213341023414
633143011504225113
72052164263260600
oct221534410021505
938401354833380
1010011101111109
11320a75865210a
12115827560b199
13578072cc5317
1426877b5dd337
15125629806109
hex91ae4202345

10011101111109 has 72 divisors (see below), whose sum is σ = 16916096695680. Its totient is φ = 5688442432512.

The previous prime is 10011101111069. The next prime is 10011101111161. The reversal of 10011101111109 is 90111110111001.

It is not a de Polignac number, because 10011101111109 - 28 = 10011101110853 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10011101111091 and 10011101111100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011101111189) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 199054164 + ... + 199104450.

It is an arithmetic number, because the mean of its divisors is an integer number (234945787440).

Almost surely, 210011101111109 is an apocalyptic number.

It is an amenable number.

10011101111109 is a deficient number, since it is larger than the sum of its proper divisors (6904995584571).

10011101111109 is a wasteful number, since it uses less digits than its factorization.

10011101111109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52839 (or 52829 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 18.

The spelling of 10011101111109 in words is "ten trillion, eleven billion, one hundred one million, one hundred eleven thousand, one hundred nine".

Divisors: 1 3 7 9 21 49 63 147 193 441 579 1351 1737 2339 4053 7017 9457 12159 16373 21051 28371 49119 50287 85113 114611 147357 150861 343833 352009 451427 452583 1031499 1056027 1354281 2464063 3159989 3168081 4062843 7392189 9479967 9705391 22119923 22176567 28439901 29116173 66359769 67937737 87348519 117621293 199079307 203813211 352863879 475564159 611439633 823349051 1058591637 1426692477 2470047153 4280077431 5763443357 7410141459 17290330071 22700909549 51870990213 68102728647 158906366843 204308185941 476719100529 1112344567901 1430157301587 3337033703703 10011101111109