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1111122111121 = 118310112179901
BaseRepresentation
bin10000001010110100000…
…010011110101010010001
310221020000000021112221021
4100022310002132222101
5121201034230023441
62210235322555441
7143163433053331
oct20126402365221
93836000245837
101111122111121
11399251512770
1215b414668b81
1380a170b8709
143bac86830c1
151dd821113d1
hex102b409ea91

1111122111121 has 32 divisors (see below), whose sum is σ = 1240026350976. Its totient is φ = 987148800000.

The previous prime is 1111122111119. The next prime is 1111122111131. The reversal of 1111122111121 is 1211112211111.

It is not a de Polignac number, because 1111122111121 - 21 = 1111122111119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1111122111095 and 1111122111104.

It is not an unprimeable number, because it can be changed into a prime (1111122111131) 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, 112218271 + ... + 112228171.

It is an arithmetic number, because the mean of its divisors is an integer number (38750823468).

Almost surely, 21111122111121 is an apocalyptic number.

1111122111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1111122111121 is a deficient number, since it is larger than the sum of its proper divisors (128904239855).

1111122111121 is a wasteful number, since it uses less digits than its factorization.

1111122111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11313.

The product of its digits is 8, while the sum is 16.

Adding to 1111122111121 its reverse (1211112211111), we get a palindrome (2322234322232).

The spelling of 1111122111121 in words is "one trillion, one hundred eleven billion, one hundred twenty-two million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 11 83 101 913 1111 1217 8383 9901 13387 92213 101011 108911 122917 821783 1000001 1111121 1352087 9039613 10202111 11000011 12049517 83000083 112223221 132544687 913000913 1000109911 1217001217 11001209021 13387013387 101011101011 1111122111121