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11110100111101 = 172414615882353
BaseRepresentation
bin1010000110101100010110…
…0100100000111011111101
31110100010002222102211022001
42201223011210200323331
52424011441112023401
635343524243022301
72224451431531015
oct241530544407375
943303088384261
1011110100111101
1135a3848966a72
1212b526606a991
136278a75a31a4
142a5a35b78c45
15143eec479601
hexa1ac5920efd

11110100111101 has 16 divisors (see below), whose sum is σ = 11838072719088. Its totient is φ = 10390586572800.

The previous prime is 11110100111083. The next prime is 11110100111153. The reversal of 11110100111101 is 10111100101111.

It is a happy number.

11110100111101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1206812102500 + 9903288008601 = 1098550^2 + 3146949^2 .

It is a cyclic number.

It is not a de Polignac number, because 11110100111101 - 213 = 11110100102909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110100111401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1052460 + ... + 4829893.

It is an arithmetic number, because the mean of its divisors is an integer number (739879544943).

Almost surely, 211110100111101 is an apocalyptic number.

It is an amenable number.

11110100111101 is a deficient number, since it is larger than the sum of its proper divisors (727972607987).

11110100111101 is a wasteful number, since it uses less digits than its factorization.

11110100111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5883072.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 11110100111101 its reverse (10111100101111), we get a palindrome (21221200212212).

It can be divided in two parts, 11110100 and 111101, that multiplied together give a square (1234343220100 = 11110102).

The spelling of 11110100111101 in words is "eleven trillion, one hundred ten billion, one hundred million, one hundred eleven thousand, one hundred one".

Divisors: 1 17 241 461 4097 7837 111101 1888717 5882353 100000001 1417647073 2711764733 24100000241 46100000461 653535300653 11110100111101