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4001105325 = 35278638831
BaseRepresentation
bin1110111001111100…
…0000010110101101
3101022211210012200010
43232133000112231
531143240332300
61501005323433
7201102556050
oct35637002655
911284705603
104001105325
111773579718
12937b66579
134b9c1a859
1429d560a97
151863e2a50
hexee7c05ad

4001105325 has 48 divisors (see below), whose sum is σ = 7569801216. Its totient is φ = 1826750400.

The previous prime is 4001105299. The next prime is 4001105327. The reversal of 4001105325 is 5235011004.

It is not a de Polignac number, because 4001105325 - 29 = 4001104813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001105327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448660 + ... + 457490.

It is an arithmetic number, because the mean of its divisors is an integer number (157704192).

Almost surely, 24001105325 is an apocalyptic number.

It is an amenable number.

4001105325 is a deficient number, since it is larger than the sum of its proper divisors (3568695891).

4001105325 is a wasteful number, since it uses less digits than its factorization.

4001105325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9714 (or 9709 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 4001105325 is about 63254.2909611672. The cubic root of 4001105325 is about 1587.5472546745.

Adding to 4001105325 its reverse (5235011004), we get a palindrome (9236116329).

The spelling of 4001105325 in words is "four billion, one million, one hundred five thousand, three hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 525 863 2589 4315 6041 8831 12945 18123 21575 26493 30205 44155 61817 64725 90615 132465 151025 185451 220775 309085 453075 662325 927255 1545425 4636275 7621153 22863459 38105765 53348071 114317295 160044213 190528825 266740355 571586475 800221065 1333701775 4001105325