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432042101 = 1099774057
BaseRepresentation
bin11001110000000…
…111000001110101
31010002222000100022
4121300013001311
51341100321401
6110512054525
713464203651
oct3160070165
91102860308
10432042101
11201970697
12100834445
136b67cc1a
1441545a61
1527de271b
hex19c07075

432042101 has 8 divisors (see below), whose sum is σ = 436559640. Its totient is φ = 427534848.

The previous prime is 432042089. The next prime is 432042109. The reversal of 432042101 is 101240234.

It can be written as a sum of positive squares in 4 ways, for example, as 207072100 + 224970001 = 14390^2 + 14999^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-432042101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 432042101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432042109) 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 7 ways as a sum of consecutive naturals, for example, 104465 + ... + 108521.

It is an arithmetic number, because the mean of its divisors is an integer number (54569955).

Almost surely, 2432042101 is an apocalyptic number.

It is an amenable number.

432042101 is a deficient number, since it is larger than the sum of its proper divisors (4517539).

432042101 is a wasteful number, since it uses less digits than its factorization.

432042101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5143.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 432042101 is about 20785.6224588055. The cubic root of 432042101 is about 755.9771865170.

Adding to 432042101 its reverse (101240234), we get a palindrome (533282335).

The spelling of 432042101 in words is "four hundred thirty-two million, forty-two thousand, one hundred one".

Divisors: 1 109 977 4057 106493 442213 3963689 432042101