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434131101 = 32372295693
BaseRepresentation
bin11001111000000…
…101000010011101
31010020220010220200
4121320011002131
51342114143401
6111024534113
713521024225
oct3170050235
91106803820
10434131101
11203068138
12101481339
136bc31a11
144192b085
15281a6686
hex19e0509d

434131101 has 24 divisors (see below), whose sum is σ = 646952280. Its totient is φ = 280319616.

The previous prime is 434131097. The next prime is 434131111. The reversal of 434131101 is 101131434.

434131101 is a `hidden beast` number, since 434 + 131 + 101 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 166023225 + 268107876 = 12885^2 + 16374^2 .

It is not a de Polignac number, because 434131101 - 22 = 434131097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434131111) 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 23 ways as a sum of consecutive naturals, for example, 73411 + ... + 79103.

It is an arithmetic number, because the mean of its divisors is an integer number (26956345).

Almost surely, 2434131101 is an apocalyptic number.

It is an amenable number.

434131101 is a deficient number, since it is larger than the sum of its proper divisors (212821179).

434131101 is a wasteful number, since it uses less digits than its factorization.

434131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5965 (or 5962 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 434131101 is about 20835.8129431035. The cubic root of 434131101 is about 757.1936558214.

Adding to 434131101 its reverse (101131434), we get a palindrome (535262535).

The spelling of 434131101 in words is "four hundred thirty-four million, one hundred thirty-one thousand, one hundred one".

Divisors: 1 3 9 37 111 229 333 687 2061 5693 8473 17079 25419 51237 76257 210641 631923 1303697 1895769 3911091 11733273 48236789 144710367 434131101