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104223212001 = 3641285049
BaseRepresentation
bin110000100010000110…
…0000000000111100001
3100222000111100202000000
41201010030000013201
53201422120241001
6115513545050213
710346514453636
oct1410414000741
9328014322000
10104223212001
1140223316857
1218248186969
139a9c75485c
145089cba18d
152a9eda1a86
hex18443001e1

104223212001 has 42 divisors (see below), whose sum is σ = 160169476950. Its totient is φ = 67786657920.

The previous prime is 104223211993. The next prime is 104223212033. The reversal of 104223212001 is 100212322401.

It is a happy number.

104223212001 is a `hidden beast` number, since 10 + 422 + 32 + 1 + 200 + 1 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3489973776 + 100733238225 = 59076^2 + 317385^2 .

It is not a de Polignac number, because 104223212001 - 23 = 104223211993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104223212501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1182925 + ... + 1267973.

It is an arithmetic number, because the mean of its divisors is an integer number (3813558975).

Almost surely, 2104223212001 is an apocalyptic number.

It is an amenable number.

104223212001 is a deficient number, since it is larger than the sum of its proper divisors (55946264949).

104223212001 is an frugal number, since it uses more digits than its factorization.

104223212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85149 (or 85093 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 104223212001 its reverse (100212322401), we get a palindrome (204435534402).

The spelling of 104223212001 in words is "one hundred four billion, two hundred twenty-three million, two hundred twelve thousand, one".

Divisors: 1 3 9 27 41 81 123 243 369 729 1107 1681 3321 5043 9963 15129 29889 45387 85049 136161 255147 408483 765441 1225449 2296323 3487009 6888969 10461027 20666907 31383081 62000721 94149243 142967369 282447729 428902107 847343187 1286706321 2542029561 3860118963 11580356889 34741070667 104223212001