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111222111121 = 1121019100901
BaseRepresentation
bin110011110010101011…
…0101011101110010001
3101122002021000122122221
41213211112223232101
53310240330023441
6123032243501041
711015121226432
oct1474526535621
9348067018587
10111222111121
1143194a89300
1219680087781
13a646763694
14555162b489
152d5e54e8d1
hex19e55abb91

111222111121 has 12 divisors (see below), whose sum is σ = 123462836532. Its totient is φ = 100109900000.

The previous prime is 111222111113. The next prime is 111222111173. The reversal of 111222111121 is 121111222111.

It can be written as a sum of positive squares in 2 ways, for example, as 105293111121 + 5929000000 = 324489^2 + 77000^2 .

It is not a de Polignac number, because 111222111121 - 23 = 111222111113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111222111095 and 111222111104.

It is not an unprimeable number, because it can be changed into a prime (111222111421) 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, 4538230 + ... + 4562671.

It is an arithmetic number, because the mean of its divisors is an integer number (10288569711).

Almost surely, 2111222111121 is an apocalyptic number.

111222111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111222111121 is a deficient number, since it is larger than the sum of its proper divisors (12240725411).

111222111121 is a wasteful number, since it uses less digits than its factorization.

111222111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9101024 (or 9101013 counting only the distinct ones).

The product of its digits is 16, while the sum is 16.

Adding to 111222111121 its reverse (121111222111), we get a palindrome (232333333232).

It can be divided in two parts, 111222111 and 121, that multiplied together give a palindrome (13457875431).

The spelling of 111222111121 in words is "one hundred eleven billion, two hundred twenty-two million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 11 101 121 1111 12221 9100901 100109911 919191001 1101209021 10111101011 111222111121