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111122220001 = 1322297573793
BaseRepresentation
bin110011101111101100…
…1101000001111100001
3101121211022001122210211
41213133121220033201
53310034242020001
6123014314454121
711012466166612
oct1473731501741
9347738048724
10111122220001
1143143661661
1219652734341
13a62bb5a600
145542267c09
152d558bc351
hex19df6683e1

111122220001 has 24 divisors (see below), whose sum is σ = 121044610680. Its totient is φ = 101964635136.

The previous prime is 111122219959. The next prime is 111122220017. The reversal of 111122220001 is 100022221111.

It can be written as a sum of positive squares in 12 ways, for example, as 39257478225 + 71864741776 = 198135^2 + 268076^2 .

It is a de Polignac number, because none of the positive numbers 2k-111122220001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111122220031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29294761 + ... + 29298553.

It is an arithmetic number, because the mean of its divisors is an integer number (5043525445).

Almost surely, 2111122220001 is an apocalyptic number.

It is an amenable number.

111122220001 is a deficient number, since it is larger than the sum of its proper divisors (9922390679).

111122220001 is a wasteful number, since it uses less digits than its factorization.

111122220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4805 (or 4792 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 111122220001 its reverse (100022221111), we get a palindrome (211144441112).

The spelling of 111122220001 in words is "one hundred eleven billion, one hundred twenty-two million, two hundred twenty thousand, one".

Divisors: 1 13 169 229 757 2977 3793 9841 38701 49309 127933 173353 641017 868597 2253589 2871301 11291761 29296657 37326913 146792893 485249869 657527929 8547863077 111122220001