Search a number
-
+
110010011121 = 3238113320713
BaseRepresentation
bin110011001110100011…
…0111000110111110001
3101111221210020121001100
41212131012320313301
53300300030323441
6122312104155013
710643102444253
oct1463506706761
9344853217040
10110010011121
114272286866a
12193a2168a69
13a4b25c384a
14547866bcd3
152cdce23cb6
hex199d1b8df1

110010011121 has 12 divisors (see below), whose sum is σ = 158908014148. Its totient is φ = 73337854464.

The previous prime is 110010011119. The next prime is 110010011141. The reversal of 110010011121 is 121110010011.

It can be written as a sum of positive squares in 2 ways, for example, as 25133346225 + 84876664896 = 158535^2 + 291336^2 .

It is not a de Polignac number, because 110010011121 - 21 = 110010011119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110010011101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182661 + ... + 503373.

Almost surely, 2110010011121 is an apocalyptic number.

It is an amenable number.

110010011121 is a deficient number, since it is larger than the sum of its proper divisors (48898003027).

110010011121 is a wasteful number, since it uses less digits than its factorization.

110010011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358832 (or 358829 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110010011121 its reverse (121110010011), we get a palindrome (231120021132).

It can be divided in two parts, 110010011 and 121, that multiplied together give a palindrome (13311211331).

The spelling of 110010011121 in words is "one hundred ten billion, ten million, eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 38113 114339 320713 343017 962139 2886417 12223334569 36670003707 110010011121