Search a number
-
+
331201140320 = 25510738035087
BaseRepresentation
bin1001101000111010010…
…00000101011001100000
31011122212222101011212202
410310131020011121200
520411244442442240
6412052433512332
732633321146121
oct4643510053140
91148788334782
10331201140320
11118509455886
12542327126a8
1325302cc720b
141205ccd6048
15893699b315
hex4d1d205660

331201140320 has 96 divisors (see below), whose sum is σ = 790138395648. Its totient is φ = 131182018048.

The previous prime is 331201140301. The next prime is 331201140367. The reversal of 331201140320 is 23041102133.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 331201140292 and 331201140301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65104817 + ... + 65109903.

It is an arithmetic number, because the mean of its divisors is an integer number (8230608288).

Almost surely, 2331201140320 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 331201140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395069197824).

331201140320 is an abundant number, since it is smaller than the sum of its proper divisors (458937255328).

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

331201140320 is a wasteful number, since it uses less digits than its factorization.

331201140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9012 (or 9004 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 331201140320 its reverse (23041102133), we get a palindrome (354242242453).

The spelling of 331201140320 in words is "three hundred thirty-one billion, two hundred one million, one hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 428 535 856 1070 1712 2140 3424 3803 4280 5087 7606 8560 10174 15212 17120 19015 20348 25435 30424 38030 40696 50870 60848 76060 81392 101740 121696 152120 162784 203480 304240 406921 406960 544309 608480 813842 813920 1088618 1627684 2034605 2177236 2721545 3255368 4069210 4354472 5443090 6510736 8138420 8708944 10886180 13021472 16276840 17417888 19345861 21772360 32553680 38691722 43544720 65107360 77383444 87089440 96729305 154766888 193458610 309533776 386917220 619067552 773834440 1547668880 2070007127 3095337760 4140014254 8280028508 10350035635 16560057016 20700071270 33120114032 41400142540 66240228064 82800285080 165600570160 331201140320