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11101100011001 = 7211133474565669
BaseRepresentation
bin1010000110001010110100…
…0111110110110111111001
31110022020212202011100222022
42201202231013312313321
52423340023100323001
635335435215404225
72224012415122100
oct241425507666771
943266782140868
1011101100011001
11359aa4a607610
1212b3573b23675
13626aa1ab9480
142a5420739037
15143b7227d11b
hexa18ad1f6df9

11101100011001 has 48 divisors (see below), whose sum is σ = 15214857860160. Its totient is φ = 7961794485120.

The previous prime is 11101100010967. The next prime is 11101100011097. The reversal of 11101100011001 is 10011000110111.

It is not a de Polignac number, because 11101100011001 - 214 = 11101099994617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11101100011001.

It is not an unprimeable number, because it can be changed into a prime (11101100011801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148595 + ... + 4714263.

It is an arithmetic number, because the mean of its divisors is an integer number (316976205420).

Almost surely, 211101100011001 is an apocalyptic number.

11101100011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11101100011001 is a deficient number, since it is larger than the sum of its proper divisors (4113757849159).

11101100011001 is a wasteful number, since it uses less digits than its factorization.

11101100011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4566054 (or 4566047 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 11101100011001 its reverse (10011000110111), we get a palindrome (21112100121112).

The spelling of 11101100011001 in words is "eleven trillion, one hundred one billion, one hundred million, eleven thousand, one".

Divisors: 1 7 11 13 49 77 91 143 347 539 637 1001 2429 3817 4511 7007 17003 26719 31577 49621 187033 221039 347347 2431429 4565669 31959683 50222359 59353697 223717781 351556513 415475879 652890667 1584287143 2460895591 2908331153 4570234669 11090010001 17427158573 20595732859 31991642683 77630070007 121990110011 144170130013 226553061449 853930770077 1009190910091 1585871430143 11101100011001