Search a number
-
+
331201322000 = 2453165600661
BaseRepresentation
bin1001101000111010010…
…00110001110000010000
31011122212222201102002122
410310131020301300100
520411300014301000
6412052441433412
732633322533603
oct4643510616020
91148788642078
10331201322000
1111850956a32a
125423279b868
132530305bb13
141205cd4233a
1589369d5085
hex4d1d231c10

331201322000 has 40 divisors (see below), whose sum is σ = 800844801432. Its totient is φ = 132480528000.

The previous prime is 331201321981. The next prime is 331201322021. The reversal of 331201322000 is 223102133.

It can be written as a sum of positive squares in 4 ways, for example, as 45066194944 + 286135127056 = 212288^2 + 534916^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 331201322000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82798331 + ... + 82802330.

Almost surely, 2331201322000 is an apocalyptic number.

It is an amenable number.

331201322000 is an abundant number, since it is smaller than the sum of its proper divisors (469643479432).

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

331201322000 is a wasteful number, since it uses less digits than its factorization.

331201322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165600684 (or 165600668 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 331201322000 its reverse (223102133), we get a palindrome (331424424133).

The spelling of 331201322000 in words is "three hundred thirty-one billion, two hundred one million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 165600661 331201322 662402644 828003305 1324805288 1656006610 2649610576 3312013220 4140016525 6624026440 8280033050 13248052880 16560066100 20700082625 33120132200 41400165250 66240264400 82800330500 165600661000 331201322000