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103003341441 = 37311133718919
BaseRepresentation
bin101111111101101111…
…0100100001010000001
3100211212110221220011220
41133323132210022001
53141422323411231
6115152531025253
710304342646000
oct1377336441201
9324773856156
10103003341441
113a757778a70
1217b6773b229
139936ac3b60
144db1c96c37
152a2cc3d896
hex17fb7a4281

103003341441 has 128 divisors (see below), whose sum is σ = 193256448000. Its totient is φ = 48054746880.

The previous prime is 103003341433. The next prime is 103003341451. The reversal of 103003341441 is 144143300301.

It is not a de Polignac number, because 103003341441 - 23 = 103003341433 is a prime.

It is a super-2 number, since 2×1030033414412 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103003341451) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5434980 + ... + 5453898.

It is an arithmetic number, because the mean of its divisors is an integer number (1509816000).

Almost surely, 2103003341441 is an apocalyptic number.

103003341441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103003341441 is a deficient number, since it is larger than the sum of its proper divisors (90253106559).

103003341441 is a wasteful number, since it uses less digits than its factorization.

103003341441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19004 (or 18990 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 103003341441 its reverse (144143300301), we get a palindrome (247146641742).

It can be divided in two parts, 103003 and 341441, that added together give a palindrome (444444).

The spelling of 103003341441 in words is "one hundred three billion, three million, three hundred forty-one thousand, four hundred forty-one".

Divisors: 1 3 7 11 13 21 33 37 39 49 77 91 111 143 147 231 259 273 343 407 429 481 539 637 777 1001 1029 1221 1443 1617 1813 1911 2849 3003 3367 3773 4459 5291 5439 7007 8547 10101 11319 12691 13377 15873 18919 19943 21021 23569 37037 38073 49049 56757 59829 70707 111111 132433 139601 147147 164983 208109 245947 259259 397299 418803 494949 624327 700003 737841 777777 927031 1456763 1721629 1814813 2100009 2705417 2781093 4370289 4900021 5164887 5444439 6489217 7700033 8116251 9100039 10197341 12051403 14700063 18937919 19467651 23100099 27300117 30592023 34300147 36154209 53900231 56813757 63700273 71381387 84359821 100100429 102900441 132565433 161700693 191100819 214144161 240101029 253079463 300301287 377301617 397696299 445901911 700703003 720303087 927958031 1131904851 1337705733 2102109009 2641111319 2783874093 3121313377 4904921021 7923333957 9363940131 14714763063 34334447147 103003341441