Search a number
-
+
102143220132 = 223414344910753
BaseRepresentation
bin101111100100000110…
…1011101100110100100
3100202122112111012120010
41133020031131212210
53133142131021012
6114531323410220
710244130021462
oct1371015354644
9322575435503
10102143220132
113a356204108
1217967683970
13982a850a35
144d2d95b832
1529cc48cc3c
hex17c835d9a4

102143220132 has 96 divisors (see below), whose sum is σ = 250404739200. Its totient is φ = 32369541120.

The previous prime is 102143220131. The next prime is 102143220143. The reversal of 102143220132 is 231022341201.

It is a junction number, because it is equal to n+sod(n) for n = 102143220099 and 102143220108.

It is not an unprimeable number, because it can be changed into a prime (102143220131) by changing a digit.

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, 9493668 + ... + 9504420.

It is an arithmetic number, because the mean of its divisors is an integer number (2608382700).

Almost surely, 2102143220132 is an apocalyptic number.

102143220132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102143220132 is an abundant number, since it is smaller than the sum of its proper divisors (148261519068).

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

102143220132 is a wasteful number, since it uses less digits than its factorization.

102143220132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11293 (or 11291 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 102143220132 its reverse (231022341201), we get a palindrome (333165561333).

The spelling of 102143220132 in words is "one hundred two billion, one hundred forty-three million, two hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 41 43 82 86 123 129 164 172 246 258 449 492 516 898 1347 1763 1796 2694 3526 5289 5388 7052 10578 10753 18409 19307 21156 21506 32259 36818 38614 43012 55227 57921 64518 73636 77228 110454 115842 129036 220908 231684 440873 462379 791587 881746 924758 1322619 1387137 1583174 1763492 1849516 2374761 2645238 2774274 3166348 4749522 4828097 5290476 5548548 9499044 9656194 14484291 18957539 19312388 28968582 37915078 56872617 57937164 75830156 113745234 197951977 207608171 227490468 395903954 415216342 593855931 622824513 791807908 830432684 1187711862 1245649026 2375423724 2491298052 8511935011 17023870022 25535805033 34047740044 51071610066 102143220132