Search a number
-
+
111132220012121 = 71110178718157379
BaseRepresentation
bin11001010001001011111100…
…011111110011011001011001
3112120111010200111020202100002
4121101023330133303121121
5104031242241310341441
61032205234224022345
732260016004031520
oct3121137437633131
9476433614222302
10111132220012121
1132456a00a93180
121056a2037619b5
134a0195335bc59
141d62b8461d4b7
15ccac0db5db9b
hex6512fc7f3659

111132220012121 has 32 divisors (see below), whose sum is σ = 140104087188480. Its totient is φ = 85630194648000.

The previous prime is 111132220012081. The next prime is 111132220012127. The reversal of 111132220012121 is 121210022231111.

It is a cyclic number.

It is not a de Polignac number, because 111132220012121 - 210 = 111132220011097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111132220012093 and 111132220012102.

It is not an unprimeable number, because it can be changed into a prime (111132220012127) 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, 2958191 + ... + 15199188.

It is an arithmetic number, because the mean of its divisors is an integer number (4378252724640).

Almost surely, 2111132220012121 is an apocalyptic number.

111132220012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111132220012121 is a deficient number, since it is larger than the sum of its proper divisors (28971867176359).

111132220012121 is a wasteful number, since it uses less digits than its factorization.

111132220012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18158285.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 111132220012121 its reverse (121210022231111), we get a palindrome (232342242243232).

The spelling of 111132220012121 in words is "one hundred eleven trillion, one hundred thirty-two billion, two hundred twenty million, twelve thousand, one hundred twenty-one".

Divisors: 1 7 11 77 101 707 787 1111 5509 7777 8657 60599 79487 556409 874357 6120499 18157379 127101653 199731169 1398118183 1833895279 12837266953 14289857273 20172848069 100029000911 141209936483 157188430003 1100319010021 1443275584573 10102929092011 15876031430303 111132220012121