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104335234443 = 321123243107433
BaseRepresentation
bin110000100101011011…
…1010101010110001011
3100222022022011001220100
41201022313111112023
53202134310000233
6115533030100443
710352344600656
oct1411267252613
9328268131810
10104335234443
1140280579990
12182797aa723
139ab9a1761b
14509ab1a89d
152aa9b2d813
hex184add558b

104335234443 has 144 divisors (see below), whose sum is σ = 177916362624. Its totient is φ = 58390295040.

The previous prime is 104335234441. The next prime is 104335234457. The reversal of 104335234443 is 344432533401.

It is a happy number.

104335234443 is a `hidden beast` number, since 10 + 43 + 3 + 523 + 44 + 43 = 666.

It is not a de Polignac number, because 104335234443 - 21 = 104335234441 is a prime.

It is a super-2 number, since 2×1043352344432 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104335234398 and 104335234407.

It is not an unprimeable number, because it can be changed into a prime (104335234441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 240958755 + ... + 240959187.

It is an arithmetic number, because the mean of its divisors is an integer number (1235530296).

Almost surely, 2104335234443 is an apocalyptic number.

104335234443 is a deficient number, since it is larger than the sum of its proper divisors (73581128181).

104335234443 is a wasteful number, since it uses less digits than its factorization.

104335234443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 104335234443 its reverse (344432533401), we get a palindrome (448767767844).

The spelling of 104335234443 in words is "one hundred four billion, three hundred thirty-five million, two hundred thirty-four thousand, four hundred forty-three".

Divisors: 1 3 9 11 23 33 43 69 99 107 129 207 253 321 387 433 473 529 759 963 989 1177 1299 1419 1587 2277 2461 2967 3531 3897 4257 4601 4761 4763 5819 7383 8901 9959 10593 10879 13803 14289 17457 18619 22149 22747 27071 29877 32637 41409 42867 46331 50611 52371 55857 56603 68241 81213 89631 97911 105823 109549 138993 151833 167571 169809 204723 204809 229057 243639 250217 317469 328647 416979 428237 455499 509427 509641 614427 622633 687171 750651 952407 985941 1065613 1164053 1284711 1528923 1843281 1867899 1992233 2061513 2251953 2433929 2519627 3196839 3492159 3854133 4586769 4710607 5603697 5976699 7301787 7558881 9590517 9849451 10476477 11721743 14131821 17930097 21905361 21914563 22676643 24509099 26773219 29548353 35165229 42395463 45821359 65743689 73527297 80319657 88645059 105495687 108343961 137464077 197231067 220581891 240958971 269600089 325031883 412392231 504034949 808800267 975095649 1053891257 1512104847 2426400801 3161673771 4536314541 9485021313 11592803827 34778411481 104335234443