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110441424242041 = 37531011942728703
BaseRepresentation
bin11001000111001000100101…
…110111000100010101111001
3112111001002121202010200101121
4121013020211313010111321
5103433433014101221131
61030520031225145241
732156062306621534
oct3107104567042571
9474032552120347
10110441424242041
113220aa43867772
121047835562b221
134981773a7aa09
141d3b5718d3a1b
15cb7c7cb75911
hex647225dc4579

110441424242041 has 32 divisors (see below), whose sum is σ = 116720743246848. Its totient is φ = 104376177734400.

The previous prime is 110441424241997. The next prime is 110441424242053. The reversal of 110441424242041 is 140242424144011.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-110441424242041 is a prime.

It is a super-2 number, since 2×1104414242420412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110441424241988 and 110441424242006.

It is not an unprimeable number, because it can be changed into a prime (110441424242341) 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 31 ways as a sum of consecutive naturals, for example, 3847716696 + ... + 3847745398.

It is an arithmetic number, because the mean of its divisors is an integer number (3647523226464).

Almost surely, 2110441424242041 is an apocalyptic number.

It is an amenable number.

110441424242041 is a deficient number, since it is larger than the sum of its proper divisors (6279319004807).

110441424242041 is a wasteful number, since it uses less digits than its factorization.

110441424242041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48321.

The product of its (nonzero) digits is 32768, while the sum is 34.

Adding to 110441424242041 its reverse (140242424144011), we get a palindrome (250683848386052).

The spelling of 110441424242041 in words is "one hundred ten trillion, four hundred forty-one billion, four hundred twenty-four million, two hundred forty-two thousand, forty-one".

Divisors: 1 37 53 101 1961 3737 5353 19427 28703 198061 718799 1029631 1062011 1521259 1962127 2899003 38096347 56286583 72598699 103992731 107263111 153647159 557613181 3847731047 5684944883 20631687697 29553498593 56318931281 1093479447941 2083800457397 2984903357893 110441424242041