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4385098201 = 112172131793
BaseRepresentation
bin1000001010101111…
…10100100111011001
3102022121100001212111
410011113310213121
532440041120301
62003043512321
7213444501601
oct40527644731
912277301774
104385098201
111950301200
12a246886a1
1354b646283
142d8559c01
151a9e93551
hex1055f49d9

4385098201 has 12 divisors (see below), whose sum is σ = 5103514836. Its totient is φ = 3751953920.

The previous prime is 4385098199. The next prime is 4385098243. The reversal of 4385098201 is 1028905834.

It can be written as a sum of positive squares in 2 ways, for example, as 3419442576 + 965655625 = 58476^2 + 31075^2 .

It is not a de Polignac number, because 4385098201 - 21 = 4385098199 is a prime.

It is a super-3 number, since 3×43850982013 (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4385098801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1063840 + ... + 1067953.

It is an arithmetic number, because the mean of its divisors is an integer number (425292903).

Almost surely, 24385098201 is an apocalyptic number.

It is an amenable number.

4385098201 is a deficient number, since it is larger than the sum of its proper divisors (718416635).

4385098201 is a wasteful number, since it uses less digits than its factorization.

4385098201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131832 (or 2131821 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 4385098201 is about 66220.0740032809. The cubic root of 4385098201 is about 1636.7905456973.

The spelling of 4385098201 in words is "four billion, three hundred eighty-five million, ninety-eight thousand, two hundred one".

Divisors: 1 11 17 121 187 2057 2131793 23449723 36240481 257946953 398645291 4385098201