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105430112235 = 3257548361043
BaseRepresentation
bin110001000110000011…
…1111101011111101011
3101002010121100121212200
41202030013331133223
53211410102042420
6120233421111243
710421441111340
oct1421407753753
9332117317780
10105430112235
1140792605868
12185243b8523
139c327c39c6
1451622c47c7
152b20d01b90
hex188c1fd7eb

105430112235 has 48 divisors (see below), whose sum is σ = 208893544704. Its totient is φ = 48187043136.

The previous prime is 105430112233. The next prime is 105430112237. The reversal of 105430112235 is 532211034501.

105430112235 is a `hidden beast` number, since 1 + 0 + 5 + 430 + 1 + 1 + 223 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (105430112233) and next prime (105430112237).

It is not a de Polignac number, because 105430112235 - 21 = 105430112233 is a prime.

It is a super-2 number, since 2×1054301122352 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105430112199 and 105430112208.

It is not an unprimeable number, because it can be changed into a prime (105430112233) 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, 1696624 + ... + 1757666.

It is an arithmetic number, because the mean of its divisors is an integer number (4351948848).

Almost surely, 2105430112235 is an apocalyptic number.

105430112235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105430112235 is a deficient number, since it is larger than the sum of its proper divisors (103463432469).

105430112235 is a wasteful number, since it uses less digits than its factorization.

105430112235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66544 (or 66541 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 105430112235 its reverse (532211034501), we get a palindrome (637641146736).

The spelling of 105430112235 in words is "one hundred five billion, four hundred thirty million, one hundred twelve thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 5483 16449 27415 38381 49347 61043 82245 115143 183129 191905 246735 305215 345429 427301 549387 575715 915645 1281903 1727145 2136505 2746935 3845709 6409515 19228545 334698769 1004096307 1673493845 2342891383 3012288921 5020481535 7028674149 11714456915 15061444605 21086022447 35143370745 105430112235