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2003001330 = 2351125031097
BaseRepresentation
bin111011101100011…
…0101111111110010
312011121000000021110
41313120311333302
513100232020310
6530431134150
7100431142011
oct16730657762
95147000243
102003001330
11938707600
1247a974356
1325bc884b5
1415003aa78
15baca6d20
hex77635ff2

2003001330 has 96 divisors (see below), whose sum is σ = 5299281792. Its totient is φ = 484168960.

The previous prime is 2003001323. The next prime is 2003001367. The reversal of 2003001330 is 331003002.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1825342 + ... + 1826438.

It is an arithmetic number, because the mean of its divisors is an integer number (55200852).

Almost surely, 22003001330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003001330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649640896).

2003001330 is an abundant number, since it is smaller than the sum of its proper divisors (3296280462).

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

2003001330 is a wasteful number, since it uses less digits than its factorization.

2003001330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 2003001330 is about 44754.9028599102. The cubic root of 2003001330 is about 1260.5509747053.

Adding to 2003001330 its reverse (331003002), we get a palindrome (2334004332).

The spelling of 2003001330 in words is "two billion, three million, one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 503 605 726 1006 1097 1210 1509 1815 2194 2515 3018 3291 3630 5030 5485 5533 6582 7545 10970 11066 12067 15090 16455 16599 24134 27665 32910 33198 36201 55330 60335 60863 72402 82995 120670 121726 132737 165990 181005 182589 265474 304315 362010 365178 398211 551791 608630 663685 796422 912945 1103582 1327370 1655373 1825890 1991055 2758955 3310746 3982110 5517910 6069701 8276865 12139402 16553730 18209103 30348505 36418206 60697010 66766711 91045515 133533422 182091030 200300133 333833555 400600266 667667110 1001500665 2003001330