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102132210010 = 252373127211227
BaseRepresentation
bin101111100011110001…
…1011101100101011010
3100202121202202211111211
41133013203131211122
53133131321210020
6114530251413334
710243634314135
oct1370743354532
9322552684454
10102132210010
113a34aa74036
1217963a5424a
13982849747c
144d2c2d321c
1529cb51585a
hex17c78dd95a

102132210010 has 128 divisors (see below), whose sum is σ = 197786271744. Its totient is φ = 37889026560.

The previous prime is 102132210007. The next prime is 102132210017. The reversal of 102132210010 is 10012231201.

It is not an unprimeable number, because it can be changed into a prime (102132210017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 449921517 + ... + 449921743.

It is an arithmetic number, because the mean of its divisors is an integer number (1545205248).

Almost surely, 2102132210010 is an apocalyptic number.

102132210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102132210010 is a deficient number, since it is larger than the sum of its proper divisors (95654061734).

102132210010 is a wasteful number, since it uses less digits than its factorization.

102132210010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 102132210010 its reverse (10012231201), we get a palindrome (112144441211).

The spelling of 102132210010 in words is "one hundred two billion, one hundred thirty-two million, two hundred ten thousand, ten".

Divisors: 1 2 5 10 23 46 73 115 127 146 211 227 230 254 365 422 454 635 730 1055 1135 1270 1679 2110 2270 2921 3358 4853 5221 5842 8395 9271 9706 10442 14605 15403 16571 16790 18542 24265 26105 26797 28829 29210 30806 33142 46355 47897 48530 52210 53594 57658 77015 82855 92710 95794 133985 144145 154030 165710 213233 239485 267970 288290 354269 381133 426466 478970 616331 663067 708538 762266 1066165 1101631 1232662 1326134 1771345 1905665 1956181 2104517 2132330 2203262 3081655 3315335 3496481 3542690 3811330 3912362 4209034 5508155 6082919 6163310 6630670 6992962 9780905 10522585 11016310 12165838 17482405 19561810 21045170 30414595 34964810 44992163 48403891 60829190 80419063 89984326 96807782 139907137 160838126 224960815 242019455 279814274 402095315 444053087 449921630 484038910 699535685 804190630 888106174 1399071370 2220265435 4440530870 10213221001 20426442002 51066105005 102132210010