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132110002332210 = 23579747917135349
BaseRepresentation
bin11110000010011101000001…
…110000101010001000110010
3122022202121000012122121022010
4132002131001300222020302
5114303442241044112320
61144550255222423350
736553430004462450
oct3602350160521062
9568677005577263
10132110002332210
11391045a0241371
1212997978591b56
135893bc5951b56
14248a23027b9d0
15104173e97eae0
hex782741c2a232

132110002332210 has 128 divisors (see below), whose sum is σ = 366104866982400. Its totient is φ = 29884422610944.

The previous prime is 132110002332181. The next prime is 132110002332227. The reversal of 132110002332210 is 12233200011231.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 63 ways as a sum of consecutive naturals, for example, 976001616 + ... + 976136964.

It is an arithmetic number, because the mean of its divisors is an integer number (2860194273300).

Almost surely, 2132110002332210 is an apocalyptic number.

132110002332210 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 132110002332210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183052433491200).

132110002332210 is an abundant number, since it is smaller than the sum of its proper divisors (233994864650190).

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

132110002332210 is a wasteful number, since it uses less digits than its factorization.

132110002332210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183380.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 132110002332210 its reverse (12233200011231), we get a palindrome (144343202343441).

The spelling of 132110002332210 in words is "one hundred thirty-two trillion, one hundred ten billion, two million, three hundred thirty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 97 105 194 210 291 485 582 679 970 1358 1455 2037 2910 3395 4074 6790 10185 20370 47917 95834 135349 143751 239585 270698 287502 335419 406047 479170 670838 676745 718755 812094 947443 1006257 1353490 1437510 1677095 1894886 2012514 2030235 2842329 3354190 4060470 4647949 4737215 5031285 5684658 9295898 9474430 10062570 13128853 13943847 14211645 23239745 26257706 27887694 28423290 32535643 39386559 46479490 65071286 65644265 69719235 78773118 91901971 97606929 131288530 139438470 162678215 183803942 195213858 196932795 275705913 325356430 393865590 459509855 488034645 551411826 919019710 976069290 1378529565 2757059130 6485518033 12971036066 19456554099 32427590165 38913108198 45398626231 64855180330 90797252462 97282770495 136195878693 194565540990 226993131155 272391757386 453986262310 629095249201 680979393465 1258190498402 1361958786930 1887285747603 3145476246005 3774571495206 4403666744407 6290952492010 8807333488814 9436428738015 13211000233221 18872857476030 22018333722035 26422000466442 44036667444070 66055001166105 132110002332210