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3135444201 = 33192437481
BaseRepresentation
bin1011101011100011…
…0001010011101001
322002111220001212000
42322320301103221
522410133203301
61235043241213
7140461556511
oct27270612351
98074801760
103135444201
1113699706aa
12736079209
133ac788036
1421a5c2841
151353ea786
hexbae314e9

3135444201 has 48 divisors (see below), whose sum is σ = 5017129920. Its totient is φ = 1933968960.

The previous prime is 3135444197. The next prime is 3135444227. The reversal of 3135444201 is 1024445313.

It is a happy number.

3135444201 is a `hidden beast` number, since 3 + 13 + 5 + 444 + 201 = 666.

It is not a de Polignac number, because 3135444201 - 22 = 3135444197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3135444241) 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 47 ways as a sum of consecutive naturals, for example, 415381 + ... + 422861.

It is an arithmetic number, because the mean of its divisors is an integer number (104523540).

Almost surely, 23135444201 is an apocalyptic number.

It is an amenable number.

3135444201 is a deficient number, since it is larger than the sum of its proper divisors (1881685719).

3135444201 is a wasteful number, since it uses less digits than its factorization.

3135444201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7571 (or 7546 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3135444201 is about 55995.0372890312. The cubic root of 3135444201 is about 1463.6358061767.

Adding to 3135444201 its reverse (1024445313), we get a palindrome (4159889514).

The spelling of 3135444201 in words is "three billion, one hundred thirty-five million, four hundred forty-four thousand, two hundred one".

Divisors: 1 3 9 19 27 43 57 129 171 361 387 513 817 1083 1161 2451 3249 7353 7481 9747 15523 22059 22443 46569 67329 139707 142139 201987 321683 419121 426417 965049 1279251 2700641 2895147 3837753 6111977 8101923 8685441 18335931 24305769 55007793 72917307 116127563 165023379 348382689 1045148067 3135444201