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11101201110006 = 237247839957553
BaseRepresentation
bin1010000110001011001100…
…1001100001001111110110
31110022021010210101201201220
42201202303021201033312
52423340224441010011
635335453230331210
72224015053342300
oct241426311411766
943267123351656
1011101201110006
11359aaa1689807
1212b35a1959b06
13626ab9a26277
142a542dd34970
15143b7b09d506
hexa18b32613f6

11101201110006 has 96 divisors (see below), whose sum is σ = 26408266859520. Its totient is φ = 3100584017664.

The previous prime is 11101201109963. The next prime is 11101201110143. The reversal of 11101201110006 is 60001110210111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11114526 + ... + 12072078.

It is an arithmetic number, because the mean of its divisors is an integer number (275086113120).

Almost surely, 211101201110006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11101201110006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13204133429760).

11101201110006 is an abundant number, since it is smaller than the sum of its proper divisors (15307065749514).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11101201110006 is a wasteful number, since it uses less digits than its factorization.

11101201110006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958458 (or 958451 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 11101201110006 its reverse (60001110210111), we get a palindrome (71102311320117).

The spelling of 11101201110006 in words is "eleven trillion, one hundred one billion, two hundred one million, one hundred ten thousand, six".

Divisors: 1 2 3 6 7 14 21 42 47 49 94 98 141 147 282 294 329 658 839 987 1678 1974 2303 2517 4606 5034 5873 6909 11746 13818 17619 35238 39433 41111 78866 82222 118299 123333 236598 246666 276031 552062 828093 957553 1656186 1915106 1932217 2872659 3864434 5745318 5796651 6702871 11593302 13405742 20108613 40217226 45004991 46920097 90009982 93840194 135014973 140760291 270029946 281520582 315034937 630069874 803386967 945104811 1606773934 1890209622 2205244559 2410160901 4410489118 4820321802 5623708769 6615733677 11247417538 13231467354 16871126307 33742252614 37759187449 39365961383 75518374898 78731922766 113277562347 118097884149 226555124694 236195768298 264314312143 528628624286 792942936429 1585885872858 1850200185001 3700400370002 5550600555003 11101201110006