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3000120201 = 341331731259
BaseRepresentation
bin1011001011010010…
…0011001110001001
321202002020220020000
42302310203032021
522121012321301
61213410553213
7134226413061
oct26264431611
97662226200
103000120201
1112aa542791
126b8898809
1338a727170
142066383a1
151285b9786
hexb2d23389

3000120201 has 80 divisors (see below), whose sum is σ = 5054353920. Its totient is φ = 1760797440.

The previous prime is 3000120181. The next prime is 3000120223. The reversal of 3000120201 is 1020210003.

It is a happy number.

It is not a de Polignac number, because 3000120201 - 214 = 3000103817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (3000120301) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2382310 + ... + 2383568.

It is an arithmetic number, because the mean of its divisors is an integer number (63179424).

Almost surely, 23000120201 is an apocalyptic number.

3000120201 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3000120201 is a deficient number, since it is larger than the sum of its proper divisors (2054233719).

3000120201 is a wasteful number, since it uses less digits than its factorization.

3000120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 3000120201 is about 54773.3530195112. The cubic root of 3000120201 is about 1442.2688322547.

Adding to 3000120201 its reverse (1020210003), we get a palindrome (4020330204).

It can be divided in two parts, 3000 and 120201, that added together give a square (123201 = 3512).

The spelling of 3000120201 in words is "three billion, one hundred twenty thousand, two hundred one".

Divisors: 1 3 9 13 27 31 39 73 81 93 117 219 279 351 403 657 837 949 1053 1209 1259 1971 2263 2511 2847 3627 3777 5913 6789 8541 10881 11331 16367 20367 25623 29419 32643 33993 39029 49101 61101 76869 88257 91907 101979 117087 147303 183303 264771 275721 351261 441909 507377 794313 827163 1053783 1194791 1325727 1522131 2382939 2481489 2849117 3161349 3584373 4566393 7444467 8547351 10753119 13699179 25642053 32259357 37038521 41097537 76926159 96778071 111115563 230778477 333346689 1000040067 3000120201