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111020111121 = 3101407389959
BaseRepresentation
bin110011101100101010…
…0000111010100010001
3101121120011220222202110
41213121110013110101
53304332122023441
6123000230135533
711010116242233
oct1473124072421
9347504828673
10111020111121
11430a0a5a757
12196244b15a9
13a613958c5a
145532888253
152d4b94cb16
hex19d9507511

111020111121 has 16 divisors (see below), whose sum is σ = 149530792320. Its totient is φ = 73261795200.

The previous prime is 111020111101. The next prime is 111020111129. The reversal of 111020111121 is 121111020111.

It is not a de Polignac number, because 111020111121 - 26 = 111020111057 is a prime.

It is a super-4 number, since 4×1110201111214 (a number of 45 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111020111097 and 111020111106.

It is not an unprimeable number, because it can be changed into a prime (111020111129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1189140 + ... + 1279098.

It is an arithmetic number, because the mean of its divisors is an integer number (9345674520).

Almost surely, 2111020111121 is an apocalyptic number.

It is an amenable number.

111020111121 is a deficient number, since it is larger than the sum of its proper divisors (38510681199).

111020111121 is a wasteful number, since it uses less digits than its factorization.

111020111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94136.

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

Adding to 111020111121 its reverse (121111020111), we get a palindrome (232131131232).

It can be divided in two parts, 111020111 and 121, that multiplied together give a palindrome (13433433431).

The spelling of 111020111121 in words is "one hundred eleven billion, twenty million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 101 303 4073 12219 89959 269877 411373 1234119 9085859 27257577 366403007 1099209021 37006703707 111020111121