Search a number
-
+
13232221002 = 23271113734389
BaseRepresentation
bin11000101001011001…
…11010101101001010
31021011011202110210100
430110230322231022
5204044422033002
610025004230230
7645623010540
oct142454725512
937134673710
1013232221002
115680275540
12269353b376
13132b52ab90
148d7537d90
15526a2311c
hex314b3ab4a

13232221002 has 96 divisors (see below), whose sum is σ = 38493786240. Its totient is φ = 3172556160.

The previous prime is 13232221001. The next prime is 13232221003. The reversal of 13232221002 is 20012223231.

13232221002 is a `hidden beast` number, since 132 + 322 + 210 + 0 + 2 = 666.

13232221002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13232221001) and next prime (13232221003).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13232221001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 349177 + ... + 385212.

It is an arithmetic number, because the mean of its divisors is an integer number (400976940).

Almost surely, 213232221002 is an apocalyptic number.

13232221002 is an abundant number, since it is smaller than the sum of its proper divisors (25261565238).

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

13232221002 is a wasteful number, since it uses less digits than its factorization.

13232221002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734428 (or 734425 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13232221002 its reverse (20012223231), we get a palindrome (33244444233).

The spelling of 13232221002 in words is "thirteen billion, two hundred thirty-two million, two hundred twenty-one thousand, two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 182 198 231 234 273 286 429 462 546 693 819 858 1001 1287 1386 1638 2002 2574 3003 6006 9009 18018 734389 1468778 2203167 4406334 5140723 6609501 8078279 9547057 10281446 13219002 15422169 16156558 19094114 24234837 28641171 30844338 46266507 48469674 56547953 57282342 66829399 72704511 85923513 92533014 105017627 113095906 133658798 145409022 169643859 171847026 200488197 210035254 315052881 339287718 400976394 508931577 601464591 630105762 735123389 945158643 1017863154 1202929182 1470246778 1890317286 2205370167 4410740334 6616110501 13232221002