Search a number
-
+
331003202404 = 227217208147737
BaseRepresentation
bin1001101000100010101…
…01000000101101100100
31011122101011220220002211
410310101111000231210
520410343304434104
6412021043213204
732625365540500
oct4642125005544
91148334826084
10331003202404
11118417751126
1254198377204
13252a0cb26a4
14120408cd300
1589243ece04
hex4d11540b64

331003202404 has 72 divisors (see below), whose sum is σ = 713822685912. Its totient is φ = 133446942720.

The previous prime is 331003202381. The next prime is 331003202423. The reversal of 331003202404 is 404202300133.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13076379904 + 317926822500 = 114352^2 + 563850^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6910024 + ... + 6957760.

It is an arithmetic number, because the mean of its divisors is an integer number (9914203971).

Almost surely, 2331003202404 is an apocalyptic number.

331003202404 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331003202404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356911342956).

331003202404 is an abundant number, since it is smaller than the sum of its proper divisors (382819483508).

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

331003202404 is a wasteful number, since it uses less digits than its factorization.

331003202404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49853 (or 49844 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 331003202404 its reverse (404202300133), we get a palindrome (735205502537).

The spelling of 331003202404 in words is "three hundred thirty-one billion, three million, two hundred two thousand, four hundred four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 833 1666 2081 3332 4162 8324 14567 29134 35377 47737 58268 70754 95474 101969 141508 190948 203938 247639 334159 407876 495278 668318 811529 990556 1336636 1623058 1733473 2339113 3246116 3466946 4678226 5680703 6933892 9356452 11361406 22722812 39764921 79529842 99340697 159059684 198681394 397362788 695384879 1390769758 1688791849 2781539516 3377583698 4867694153 6755167396 9735388306 11821542943 19470776612 23643085886 47286171772 82750800601 165501601202 331003202404