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12121110106 = 272299743969
BaseRepresentation
bin10110100100111100…
…10111011001011010
31011021202000012011221
423102132113121122
5144311001010411
65322433242254
7606241510300
oct132236273132
934252005157
1012121110106
115160061476
12242340338a
1311b2289b01
1482db46270
154ae1e5071
hex2d279765a

12121110106 has 48 divisors (see below), whose sum is σ = 22105477800. Its totient is φ = 4963811328.

The previous prime is 12121110061. The next prime is 12121110137. The reversal of 12121110106 is 60101112121.

It can be written as a sum of positive squares in 4 ways, for example, as 10932584481 + 1188525625 = 104559^2 + 34475^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12121110106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253690 + ... + 297658.

Almost surely, 212121110106 is an apocalyptic number.

12121110106 is a deficient number, since it is larger than the sum of its proper divisors (9984367694).

12121110106 is a wasteful number, since it uses less digits than its factorization.

12121110106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44111 (or 44104 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 12121110106 its reverse (60101112121), we get a palindrome (72222222227).

The spelling of 12121110106 in words is "twelve billion, one hundred twenty-one million, one hundred ten thousand, one hundred six".

Divisors: 1 2 7 14 29 49 58 97 98 194 203 406 679 1358 1421 2813 2842 4753 5626 9506 19691 39382 43969 87938 137837 275674 307783 615566 1275101 2154481 2550202 4264993 4308962 8529986 8925707 17851414 29854951 59709902 62479949 123684797 124959898 208984657 247369594 417969314 865793579 1731587158 6060555053 12121110106