Search a number
-
+
13211333000 = 235323356701
BaseRepresentation
bin11000100110111010…
…01111000110001000
31021002201110020211122
430103131033012020
5204024100124000
610022540414412
7645250322555
oct142335170610
937081406748
1013211333000
11566a4a9028
122688547408
1313270c6508
148d485ba2c
15524c99085
hex31374f188

13211333000 has 64 divisors (see below), whose sum is σ = 31047747120. Its totient is φ = 5261760000.

The previous prime is 13211332999. The next prime is 13211333017. The reversal of 13211333000 is 33311231.

It can be written as a sum of positive squares in 8 ways, for example, as 114361636 + 13096971364 = 10694^2 + 114442^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13211333000.

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, 204650 + ... + 261350.

Almost surely, 213211333000 is an apocalyptic number.

13211333000 is a gapful number since it is divisible by the number (10) 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 13211333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15523873560).

13211333000 is an abundant number, since it is smaller than the sum of its proper divisors (17836414120).

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

13211333000 is a wasteful number, since it uses less digits than its factorization.

13211333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56955 (or 56941 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13211333000 its reverse (33311231), we get a palindrome (13244644231).

The spelling of 13211333000 in words is "thirteen billion, two hundred eleven million, three hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 233 250 466 500 932 1000 1165 1864 2330 4660 5825 9320 11650 23300 29125 46600 56701 58250 113402 116500 226804 233000 283505 453608 567010 1134020 1417525 2268040 2835050 5670100 7087625 11340200 13211333 14175250 26422666 28350500 52845332 56701000 66056665 105690664 132113330 264226660 330283325 528453320 660566650 1321133300 1651416625 2642266600 3302833250 6605666500 13211333000