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421113105 = 3257327283
BaseRepresentation
bin11001000110011…
…010110100010001
31002100101202120200
4121012122310101
51330301104410
6105441525413
713302255000
oct3106326421
91070352520
10421113105
111a6786566
12b9043869
136932456a
143dcdcc37
1526e843c0
hex1919ad11

421113105 has 48 divisors (see below), whose sum is σ = 851260800. Its totient is φ = 192501792.

The previous prime is 421113101. The next prime is 421113127. The reversal of 421113105 is 501311124.

It is not a de Polignac number, because 421113105 - 22 = 421113101 is a prime.

It is not an unprimeable number, because it can be changed into a prime (421113101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1794 + ... + 29076.

It is an arithmetic number, because the mean of its divisors is an integer number (17734600).

Almost surely, 2421113105 is an apocalyptic number.

421113105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

421113105 is an abundant number, since it is smaller than the sum of its proper divisors (430147695).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

421113105 is a wasteful number, since it uses less digits than its factorization.

421113105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27315 (or 27298 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 421113105 is about 20521.0405437931. The cubic root of 421113105 is about 749.5482345987.

Adding to 421113105 its reverse (501311124), we get a palindrome (922424229).

It can be divided in two parts, 421 and 113105, that added together give a triangular number (113526 = T476).

The spelling of 421113105 in words is "four hundred twenty-one million, one hundred thirteen thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 343 441 735 1029 1715 2205 3087 5145 15435 27283 81849 136415 190981 245547 409245 572943 954905 1227735 1336867 1718829 2864715 4010601 6684335 8594145 9358069 12031803 20053005 28074207 46790345 60159015 84222621 140371035 421113105