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58107218103 = 341131921493
BaseRepresentation
bin110110000111011101…
…011100100010110111
312112222120222112010000
4312013131130202313
51423000421434403
642405531202343
74124644130064
oct660735344267
9175876875100
1058107218103
1122709012000
12b317ba63b3
135630582bbc
142b53347c6b
1517a14bd7a3
hexd8775c8b7

58107218103 has 120 divisors (see below), whose sum is σ = 100832844816. Its totient is φ = 33340649760.

The previous prime is 58107218051. The next prime is 58107218119. The reversal of 58107218103 is 30181270185.

58107218103 is a `hidden beast` number, since 581 + 0 + 72 + 1 + 8 + 1 + 0 + 3 = 666.

It is not a de Polignac number, because 58107218103 - 216 = 58107152567 is a prime.

It is a super-2 number, since 2×581072181032 (a number of 22 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58107218173) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 38919025 + ... + 38920517.

Almost surely, 258107218103 is an apocalyptic number.

58107218103 is a deficient number, since it is larger than the sum of its proper divisors (42725626713).

58107218103 is a wasteful number, since it uses less digits than its factorization.

58107218103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

Adding to 58107218103 its reverse (30181270185), we get a palindrome (88288488288).

The spelling of 58107218103 in words is "fifty-eight billion, one hundred seven million, two hundred eighteen thousand, one hundred three".

Divisors: 1 3 9 11 19 27 33 57 81 99 121 171 209 297 361 363 513 627 891 1083 1089 1331 1493 1539 1881 2299 3249 3267 3971 3993 4479 5643 6897 9747 9801 11913 11979 13437 16423 16929 20691 25289 28367 29241 35739 35937 40311 43681 49269 62073 75867 85101 107217 107811 120933 131043 147807 180653 186219 227601 255303 312037 321651 393129 443421 480491 538973 541959 682803 765909 936111 1179387 1330263 1441473 1616919 1625877 1987183 2048409 2297727 2808333 3432407 3538161 4324419 4850757 4877631 5928703 5961549 8424999 10297221 12973257 14552271 14632893 17786109 17884647 25274997 30891663 37756477 38919771 43656813 53358327 53653941 65215733 92674989 113269431 160074981 160961823 195647199 278024967 339808293 480224943 586941597 717373063 1019424879 1760824791 2152119189 3058274637 5282474373 6456357567 19369072701 58107218103