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104441222041 = 136110310911731
BaseRepresentation
bin110000101000100101…
…1101001001110011001
3100222120200120210112221
41201101023221032121
53202343423101131
6115551333504041
710355102511502
oct1412113511631
9328520523487
10104441222041
114032538aa42
12182a91a2021
139b05976590
1450aac29ba9
152ab40b7411
hex18512e9399

104441222041 has 32 divisors (see below), whose sum is σ = 116497821440. Its totient is φ = 93036729600.

The previous prime is 104441222033. The next prime is 104441222059. The reversal of 104441222041 is 140222144401.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 104441222041 - 23 = 104441222033 is a prime.

It is a super-2 number, since 2×1044412220412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104441221997 and 104441222015.

It is not an unprimeable number, because it can be changed into a prime (104441222441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8897146 + ... + 8908876.

It is an arithmetic number, because the mean of its divisors is an integer number (3640556920).

Almost surely, 2104441222041 is an apocalyptic number.

It is an amenable number.

104441222041 is a deficient number, since it is larger than the sum of its proper divisors (12056599399).

104441222041 is a wasteful number, since it uses less digits than its factorization.

104441222041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12017.

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 104441222041 its reverse (140222144401), we get a palindrome (244663366442).

The spelling of 104441222041 in words is "one hundred four billion, four hundred forty-one million, two hundred twenty-two thousand, forty-one".

Divisors: 1 13 61 103 109 793 1339 1417 6283 6649 11227 11731 81679 86437 145951 152503 684847 715591 1208293 1278679 8903011 9302683 15707809 16622827 73705873 77999419 131703937 958176349 1013992447 1712151181 8033940157 104441222041