Search a number
-
+
330132332201220 = 223352921081247267
BaseRepresentation
bin100101100010000001110110…
…0011000111100010100000100
31121021220100020212000200121000
41023010003230120330110010
5321232342004020414340
63130044411045453300
7126352162643262153
oct11304035430742404
91537810225020530
10330132332201220
1196210376aa4a2a
1231039a36111230
13112294649568c3
145b746c0cdd59a
1528277760cdd30
hex12c40ec63c504

330132332201220 has 96 divisors (see below), whose sum is σ = 1062494862307200. Its totient is φ = 84999588976512.

The previous prime is 330132332201201. The next prime is 330132332201233. The reversal of 330132332201220 is 22102233231033.

330132332201220 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 3 + 233 + 2 + 201 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10540607974 + ... + 10540639293.

It is an arithmetic number, because the mean of its divisors is an integer number (11067654815700).

Almost surely, 2330132332201220 is an apocalyptic number.

330132332201220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330132332201220 is an abundant number, since it is smaller than the sum of its proper divisors (732362530105980).

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

330132332201220 is a wasteful number, since it uses less digits than its factorization.

330132332201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21081247314 (or 21081247306 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 330132332201220 its reverse (22102233231033), we get a palindrome (352234565432253).

The spelling of 330132332201220 in words is "three hundred thirty trillion, one hundred thirty-two billion, three hundred thirty-two million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1566 1740 2610 3132 3915 5220 7830 15660 21081247267 42162494534 63243741801 84324989068 105406236335 126487483602 189731225403 210812472670 252974967204 316218709005 379462450806 421624945340 569193676209 611356170743 632437418010 758924901612 948656127015 1138387352418 1222712341486 1264874836020 1834068512229 1897312254030 2276774704836 2445424682972 2845968381045 3056780853715 3668137024458 3794624508060 5502205536687 5691936762090 6113561707430 7336274048916 9170342561145 11004411073374 11383873524180 12227123414860 16506616610061 18340685122290 22008822146748 27511027683435 33013233220122 36681370244580 55022055366870 66026466440244 82533083050305 110044110733740 165066166100610 330132332201220