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103443111024 = 24311274323971
BaseRepresentation
bin110000001010110110…
…0001001110001110000
3100220000010110111122020
41200111230021301300
53143322414023044
6115304320511440
710321262636031
oct1402554116160
9326003414566
10103443111024
113a962a37400
121806aa7b580
1399a6c4b146
145014450a88
152a5665aa19
hex1815b09c70

103443111024 has 120 divisors (see below), whose sum is σ = 294137590656. Its totient is φ = 31302902400.

The previous prime is 103443111017. The next prime is 103443111043. The reversal of 103443111024 is 420111344301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 103443110985 and 103443111003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4303359 + ... + 4327329.

Almost surely, 2103443111024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103443111024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147068795328).

103443111024 is an abundant number, since it is smaller than the sum of its proper divisors (190694479632).

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

103443111024 is a wasteful number, since it uses less digits than its factorization.

103443111024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24747 (or 24730 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 103443111024 its reverse (420111344301), we get a palindrome (523554455325).

The spelling of 103443111024 in words is "one hundred three billion, four hundred forty-three million, one hundred eleven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 743 968 1452 1486 1936 2229 2904 2972 4458 5808 5944 8173 8916 11888 16346 17832 23971 24519 32692 35664 47942 49038 65384 71913 89903 95884 98076 130768 143826 179806 191768 196152 263681 269709 287652 359612 383536 392304 527362 539418 575304 719224 791043 1054724 1078836 1150608 1438448 1582086 2109448 2157672 2900491 3164172 4218896 4315344 5800982 6328344 8701473 11601964 12656688 17402946 17810453 23203928 34805892 35620906 46407856 53431359 69611784 71241812 106862718 139223568 142483624 195914983 213725436 284967248 391829966 427450872 587744949 783659932 854901744 1175489898 1567319864 2155064813 2350979796 3134639728 4310129626 4701959592 6465194439 8620259252 9403919184 12930388878 17240518504 25860777756 34481037008 51721555512 103443111024