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12042404101 = 721322322749
BaseRepresentation
bin10110011011100100…
…01000000100000101
31011002020220111211201
423031302020010011
5144130323412401
65310542302501
7604264513600
oct131562100405
934066814751
1012042404101
11511a694492
122400b87a31
13119bb90700
148234d9337
154a7349b01
hex2cdc88105

12042404101 has 54 divisors (see below), whose sum is σ = 15862943250. Its totient is φ = 9110477376.

The previous prime is 12042404081. The next prime is 12042404113. The reversal of 12042404101 is 10140424021.

It can be written as a sum of positive squares in 3 ways, for example, as 544989025 + 11497415076 = 23345^2 + 107226^2 .

It is not a de Polignac number, because 12042404101 - 25 = 12042404069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12042404161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4379275 + ... + 4382023.

Almost surely, 212042404101 is an apocalyptic number.

It is an amenable number.

12042404101 is a deficient number, since it is larger than the sum of its proper divisors (3820539149).

12042404101 is a wasteful number, since it uses less digits than its factorization.

12042404101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 12042404101 its reverse (10140424021), we get a palindrome (22182828122).

The spelling of 12042404101 in words is "twelve billion, forty-two million, four hundred four thousand, one hundred one".

Divisors: 1 7 13 23 49 91 161 169 299 529 637 1127 1183 2093 2749 3703 3887 6877 8281 14651 19243 25921 27209 35737 48139 63227 89401 134701 190463 250159 336973 442589 464581 625807 821951 1454221 1751113 3098123 3252067 4380649 5753657 10179547 10685363 18904873 22764469 40275599 71256829 74797541 132334111 245763349 523582787 926338777 1720343443 12042404101