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11121031001311 = 711678325971763
BaseRepresentation
bin1010000111010101000100…
…0110100011010011011111
31110101011022202211120201121
42201311101012203103133
52424201332414020221
635352533041551411
72225316341545420
oct241652106432337
943334282746647
1011121031001311
1135a8448091630
1212b73b6945567
1362892a0b126a
142a63917b9647
1514443be16a41
hexa1d511a34df

11121031001311 has 32 divisors (see below), whose sum is σ = 14241668732928. Its totient is φ = 8433550556640.

The previous prime is 11121031001309. The next prime is 11121031001321. The reversal of 11121031001311 is 11310013012111.

11121031001311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11121031001311 - 21 = 11121031001309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121031001321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12557685 + ... + 13414078.

It is an arithmetic number, because the mean of its divisors is an integer number (445052147904).

Almost surely, 211121031001311 is an apocalyptic number.

11121031001311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11121031001311 is a deficient number, since it is larger than the sum of its proper divisors (3120637731617).

11121031001311 is a wasteful number, since it uses less digits than its factorization.

11121031001311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25971931.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 11121031001311 its reverse (11310013012111), we get a palindrome (22431044013422).

The spelling of 11121031001311 in words is "eleven trillion, one hundred twenty-one billion, thirty-one million, one thousand, three hundred eleven".

Divisors: 1 7 11 67 77 83 469 581 737 913 5159 5561 6391 38927 61171 428197 25971763 181802341 285689393 1740108121 1999825751 2155656329 12180756847 15089594303 19141189331 23712219619 133988325317 144428974043 165985537333 1011002818301 1588718714473 11121031001311