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1003201144 = 2311171315119
BaseRepresentation
bin111011110010111…
…010001001111000
32120220200220020221
4323302322021320
54023304414034
6243314025424
733601032451
oct7362721170
92526626227
101003201144
1147530a960
1223bb78274
1312cabb25a
1497342128
155d114bb4
hex3bcba278

1003201144 has 64 divisors (see below), whose sum is σ = 2189721600. Its totient is φ = 425817600.

The previous prime is 1003201123. The next prime is 1003201153. The reversal of 1003201144 is 4411023001.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 193417 + ... + 198535.

It is an arithmetic number, because the mean of its divisors is an integer number (34214400).

Almost surely, 21003201144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003201144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094860800).

1003201144 is an abundant number, since it is smaller than the sum of its proper divisors (1186520456).

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

1003201144 is a wasteful number, since it uses less digits than its factorization.

1003201144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5284 (or 5280 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1003201144 is about 31673.3506910778. The cubic root of 1003201144 is about 1001.0659114291.

Adding to 1003201144 its reverse (4411023001), we get a palindrome (5414224145).

The spelling of 1003201144 in words is "one billion, three million, two hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 131 136 187 262 374 524 748 1048 1441 1496 2227 2882 4454 5119 5764 8908 10238 11528 17816 20476 24497 40952 48994 56309 87023 97988 112618 174046 195976 225236 348092 450472 670589 696184 957253 1341178 1914506 2682356 3829012 5364712 7376479 7658024 11400013 14752958 22800026 29505916 45600052 59011832 91200104 125400143 250800286 501600572 1003201144