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201020444430 = 235131015103337
BaseRepresentation
bin1011101100110111000…
…0001000111100001110
3201012212110102122002120
42323031300020330032
511243142213210210
6232203021433410
720344321404441
oct2731560107416
9635773378076
10201020444430
1178285889203
1232b6140b866
1315c57866b50
149a2d831658
155367d43270
hex2ecdc08f0e

201020444430 has 64 divisors (see below), whose sum is σ = 524704799808. Its totient is φ = 48992025600.

The previous prime is 201020444419. The next prime is 201020444437. The reversal of 201020444430 is 34444020102.

It is a happy number.

201020444430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 201020444430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201020444437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2512279 + ... + 2591058.

It is an arithmetic number, because the mean of its divisors is an integer number (8198512497).

Almost surely, 2201020444430 is an apocalyptic number.

201020444430 is an abundant number, since it is smaller than the sum of its proper divisors (323684355378).

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

201020444430 is a wasteful number, since it uses less digits than its factorization.

201020444430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5103461.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 201020444430 its reverse (34444020102), we get a palindrome (235464464532).

The spelling of 201020444430 in words is "two hundred one billion, twenty million, four hundred forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 101 130 195 202 303 390 505 606 1010 1313 1515 2626 3030 3939 6565 7878 13130 19695 39390 5103337 10206674 15310011 25516685 30620022 51033370 66343381 76550055 132686762 153100110 199030143 331716905 398060286 515437037 663433810 995150715 1030874074 1546311111 1990301430 2577185185 3092622222 5154370370 6700681481 7731555555 13401362962 15463111110 20102044443 33503407405 40204088886 67006814810 100510222215 201020444430