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110442004244201 = 71723611275208659
BaseRepresentation
bin11001000111001001001000…
…011011100110011011101001
3112111001011010011111211210002
4121013021020123212123221
5103433440211041303301
61030520204544432345
732156112551561120
oct3107111033463351
9474034104454702
10110442004244201
11322102111a69a3
12104784979186b5
134981836c94166
141d3b5c8952ab7
15cb7cb3a4316b
hex6472486e66e9

110442004244201 has 64 divisors (see below), whose sum is σ = 142856959426560. Its totient is φ = 83165183861760.

The previous prime is 110442004244147. The next prime is 110442004244203. The reversal of 110442004244201 is 102442400244011.

It is a de Polignac number, because none of the positive numbers 2k-110442004244201 is a prime.

It is a super-2 number, since 2×1104420042442012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110442004244203) 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 63 ways as a sum of consecutive naturals, for example, 18599210 + ... + 23807868.

It is an arithmetic number, because the mean of its divisors is an integer number (2232139991040).

Almost surely, 2110442004244201 is an apocalyptic number.

It is an amenable number.

110442004244201 is a deficient number, since it is larger than the sum of its proper divisors (32414955182359).

110442004244201 is a wasteful number, since it uses less digits than its factorization.

110442004244201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5208894.

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 110442004244201 its reverse (102442400244011), we get a palindrome (212884404488212).

The spelling of 110442004244201 in words is "one hundred ten trillion, four hundred forty-two billion, four million, two hundred forty-four thousand, two hundred one".

Divisors: 1 7 17 23 61 119 127 161 391 427 889 1037 1403 2159 2737 2921 7259 7747 9821 15113 20447 23851 49657 54229 131699 166957 178181 347599 921893 1247267 3029077 5208659 21203539 36460613 88547203 119799157 317728199 619830421 661499693 838594099 2036585669 2224097393 4630497851 5401379383 7307748577 11245494781 14256099683 15214492939 37809655681 40351481273 51154240039 78718463467 106501450573 124231725809 258646379963 282460368911 685975181641 869622080663 928084069279 1810524659741 4801826271487 6496588484953 15777429177743 110442004244201