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11100002001011 = 711101231744579
BaseRepresentation
bin1010000110000110101110…
…1011010010000001110011
31110022011001020001200102122
42201201223223102001303
52423330301003013021
635335134233304455
72223643253154560
oct241415353220163
943264036050378
1011100002001011
11359a536831440
1212b330826512b
13626958484511
142a5358997867
15143b0ab8bbab
hexa186bad2073

11100002001011 has 48 divisors (see below), whose sum is σ = 14021746686720. Its totient is φ = 8536508688000.

The previous prime is 11100002001001. The next prime is 11100002001037. The reversal of 11100002001011 is 11010020000111.

It is a happy number.

It is not a de Polignac number, because 11100002001011 - 242 = 6701955489907 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11100002001011.

It is not an unprimeable number, because it can be changed into a prime (11100002001001) 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, 248973920 + ... + 249018498.

It is an arithmetic number, because the mean of its divisors is an integer number (292119722640).

Almost surely, 211100002001011 is an apocalyptic number.

11100002001011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11100002001011 is a deficient number, since it is larger than the sum of its proper divisors (2921744685709).

11100002001011 is a wasteful number, since it uses less digits than its factorization.

11100002001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45116 (or 45015 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11100002001011 its reverse (11010020000111), we get a palindrome (22110022001122).

Subtracting from 11100002001011 its reverse (11010020000111), we obtain a square (89982000900 = 2999702).

The spelling of 11100002001011 in words is "eleven trillion, one hundred billion, two million, one thousand, eleven".

Divisors: 1 7 11 77 101 317 707 1111 2219 3487 7777 10201 24409 32017 44579 71407 112211 224119 312053 352187 490369 785477 2465309 3233717 3432583 4502479 14131543 22636019 31517353 35570887 49527269 98920801 155446973 248996209 346690883 454750379 1088128811 1427285843 3183252653 5002254169 9991000901 15700144273 35015779183 109901009911 144155870143 1009091091001 1585714571573 11100002001011