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111112112122 = 211891011314289
BaseRepresentation
bin110011101111011001…
…1000100011111111010
3101121210121001010101221
41213132303010133322
53310024200041442
6123013314102254
711012314240564
oct1473663043772
9347717033357
10111112112122
1143138988440
121964b27a98a
13a629a2b90b
145540b96334
152d54a72467
hex19decc47fa

111112112122 has 64 divisors (see below), whose sum is σ = 187144214400. Its totient is φ = 49054720000.

The previous prime is 111112112113. The next prime is 111112112129. The reversal of 111112112122 is 221211211111.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 111112112096 and 111112112105.

It is not an unprimeable number, because it can be changed into a prime (111112112129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25904154 + ... + 25908442.

It is an arithmetic number, because the mean of its divisors is an integer number (2924128350).

Almost surely, 2111112112122 is an apocalyptic number.

111112112122 is a deficient number, since it is larger than the sum of its proper divisors (76032102278).

111112112122 is a wasteful number, since it uses less digits than its factorization.

111112112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4623.

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

Adding to 111112112122 its reverse (221211211111), we get a palindrome (332323323233).

The spelling of 111112112122 in words is "one hundred eleven billion, one hundred twelve million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 11 22 89 101 131 178 202 262 979 1111 1441 1958 2222 2882 4289 8578 8989 11659 13231 17978 23318 26462 47179 94358 98879 128249 145541 197758 256498 291082 381721 433189 561859 763442 866378 1123718 1177559 2355118 4198931 4765079 6180449 8397862 9530158 12360898 12953149 25906298 38553821 50005451 56747759 77107642 100010902 113495518 424092031 550059961 624225349 848184062 1100119922 1248450698 5050550551 10101101102 55556056061 111112112122