Search a number
-
+
13232022210 = 23251171188249
BaseRepresentation
bin11000101001011000…
…01010001011000010
31021011011101101002200
430110230022023002
5204044344202320
610025000054030
7645621222141
oct142454121302
937134341080
1013232022210
11568014a150
122693464316
13132b48b554
148d74c5758
155269d4290
hex314b0a2c2

13232022210 has 96 divisors (see below), whose sum is σ = 38059632000. Its totient is φ = 3162566400.

The previous prime is 13232022203. The next prime is 13232022211. The reversal of 13232022210 is 1222023231.

13232022210 is a `hidden beast` number, since 132 + 320 + 2 + 2 + 210 = 666.

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 (13232022211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23835 + ... + 164414.

It is an arithmetic number, because the mean of its divisors is an integer number (396454500).

Almost surely, 213232022210 is an apocalyptic number.

13232022210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13232022210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19029816000).

13232022210 is an abundant number, since it is smaller than the sum of its proper divisors (24827609790).

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

13232022210 is a wasteful number, since it uses less digits than its factorization.

13232022210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188344 (or 188341 counting only the distinct ones).

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

Adding to 13232022210 its reverse (1222023231), we get a palindrome (14454045441).

The spelling of 13232022210 in words is "thirteen billion, two hundred thirty-two million, twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 71 90 99 110 142 165 198 213 330 355 426 495 639 710 781 990 1065 1278 1562 2130 2343 3195 3905 4686 6390 7029 7810 11715 14058 23430 35145 70290 188249 376498 564747 941245 1129494 1694241 1882490 2070739 2823735 3388482 4141478 5647470 6212217 8471205 10353695 12424434 13365679 16942410 18636651 20707390 26731358 31061085 37273302 40097037 62122170 66828395 80194074 93183255 120291111 133656790 147022469 186366510 200485185 240582222 294044938 400970370 441067407 601455555 735112345 882134814 1202911110 1323202221 1470224690 2205337035 2646404442 4410674070 6616011105 13232022210