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105420422135 = 5747199322037
BaseRepresentation
bin110001000101110001…
…0111111101111110111
3101002002221010022120002
41202023202333233313
53211400112002020
6120232433301515
710421262542330
oct1421342775767
9332087108502
10105420422135
1140788097516
121852110489b
139c307b0212
145160cc1287
152b2003a975
hex188b8bfbf7

105420422135 has 32 divisors (see below), whose sum is σ = 148395110400. Its totient is φ = 70394493312.

The previous prime is 105420422131. The next prime is 105420422143. The reversal of 105420422135 is 531224024501.

It is a cyclic number.

It is not a de Polignac number, because 105420422135 - 22 = 105420422131 is a prime.

It is a super-2 number, since 2×1054204221352 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105420422098 and 105420422107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105420422131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166337 + ... + 488373.

It is an arithmetic number, because the mean of its divisors is an integer number (4637347200).

Almost surely, 2105420422135 is an apocalyptic number.

105420422135 is a deficient number, since it is larger than the sum of its proper divisors (42974688265).

105420422135 is a wasteful number, since it uses less digits than its factorization.

105420422135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322295.

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 105420422135 its reverse (531224024501), we get a palindrome (636644446636).

The spelling of 105420422135 in words is "one hundred five billion, four hundred twenty million, four hundred twenty-two thousand, one hundred thirty-five".

Divisors: 1 5 7 35 47 199 235 329 995 1393 1645 6965 9353 46765 65471 322037 327355 1610185 2254259 11271295 15135739 64085363 75678695 105950173 320426815 448597541 529750865 2242987705 3012012061 15060060305 21084084427 105420422135