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11020111102011 = 3111013637909091
BaseRepresentation
bin1010000001011101000111…
…0011101100000000111011
31110000111211111020111212110
42200113101303230000323
52421023141420231021
635234322534143403
72215114424551644
oct240272163540073
943014744214773
1011020111102011
11356966a472580
12129b930ab1b63
1361c265b2b80b
142a153a4dc6cb
151419d206e476
hexa05d1cec03b

11020111102011 has 32 divisors (see below), whose sum is σ = 16192426703616. Its totient is φ = 6610902480000.

The previous prime is 11020111101947. The next prime is 11020111102037.

11020111102011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11020111102011 - 26 = 11020111101947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11020111102081) 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, 11667576 + ... + 12576666.

It is an arithmetic number, because the mean of its divisors is an integer number (506013334488).

Almost surely, 211020111102011 is an apocalyptic number.

11020111102011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11020111102011 is a deficient number, since it is larger than the sum of its proper divisors (5172315601605).

11020111102011 is a wasteful number, since it uses less digits than its factorization.

11020111102011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912843.

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 1102011 and 1102011, that added together give a palindrome (2204022).

The spelling of 11020111102011 in words is "eleven trillion, twenty billion, one hundred eleven million, one hundred two thousand, eleven".

Divisors: 1 3 11 33 101 303 1111 3333 3637 10911 40007 120021 367337 909091 1102011 2727273 4040707 10000001 12122121 30000003 91818191 275454573 1010000101 3030000303 3306363967 9919091901 36370003637 109110010911 333942760667 1001828282001 3673370367337 11020111102011