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103444122132234 = 2321322910391857971
BaseRepresentation
bin10111100001010011110110…
…001001110101111100001010
3111120021011100201201201121100
4113201103312021311330022
5102024312030231212414
61004001323524522230
730534406531216362
oct2741236611657412
9446234321651540
10103444122132234
112aa62451185244
12b7281b7250376
13459497b37a720
141b78a17b019a2
15be5c44241609
hex5e14f6275f0a

103444122132234 has 96 divisors (see below), whose sum is σ = 242657088710400. Its totient is φ = 31659452069760.

The previous prime is 103444122132233. The next prime is 103444122132283. The reversal of 103444122132234 is 432231221444301.

103444122132234 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 4 + 412 + 2 + 1 + 3 + 2 + 234 = 666.

It is a super-3 number, since 3×1034441221322343 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (103444122132233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54746869 + ... + 56604839.

It is an arithmetic number, because the mean of its divisors is an integer number (2527678007400).

Almost surely, 2103444122132234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103444122132234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121328544355200).

103444122132234 is an abundant number, since it is smaller than the sum of its proper divisors (139212966578166).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103444122132234 is a wasteful number, since it uses less digits than its factorization.

103444122132234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859260 (or 1859257 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 103444122132234 its reverse (432231221444301), we get a palindrome (535675343576535).

The spelling of 103444122132234 in words is "one hundred three trillion, four hundred forty-four billion, one hundred twenty-two million, one hundred thirty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 229 234 458 687 1039 1374 2061 2078 2977 3117 4122 5954 6234 8931 9351 13507 17862 18702 26793 27014 40521 53586 81042 121563 237931 243126 475862 713793 1427586 1857971 2141379 3093103 3715942 4282758 5573913 6186206 9279309 11147826 16721739 18558618 24153623 27837927 33443478 48307246 55675854 72460869 144921738 217382607 425475359 434765214 850950718 1276426077 1930431869 2552852154 3829278231 3860863738 5531179667 5791295607 7658556462 11062359334 11582591214 16593539001 17373886821 25095614297 33187078002 34747773642 49780617003 50191228594 75286842891 99561234006 150573685782 225860528673 442068898001 451721057346 884137796002 1326206694003 2652413388006 3978620082009 5746895674013 7957240164018 11493791348026 17240687022039 34481374044078 51722061066117 103444122132234