Search a number
-
+
102432321321 = 31171105141597
BaseRepresentation
bin101111101100101110…
…0010010111100101001
3100210101200111001211120
41133121130102330221
53134240133240241
6115020132045453
710254240236211
oct1373134227451
9323350431746
10102432321321
113a494414110
1217a28463889
139875703b25
144d5a0d5241
1529e7a47666
hex17d9712f29

102432321321 has 32 divisors (see below), whose sum is σ = 151238347776. Its totient is φ = 61146120000.

The previous prime is 102432321311. The next prime is 102432321331. The reversal of 102432321321 is 123123234201.

It is an interprime number because it is at equal distance from previous prime (102432321311) and next prime (102432321331).

It is not a de Polignac number, because 102432321321 - 210 = 102432320297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102432321291 and 102432321300.

It is not an unprimeable number, because it can be changed into a prime (102432321311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2441695 + ... + 2483291.

It is an arithmetic number, because the mean of its divisors is an integer number (4726198368).

Almost surely, 2102432321321 is an apocalyptic number.

102432321321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102432321321 is a deficient number, since it is larger than the sum of its proper divisors (48806026455).

102432321321 is a wasteful number, since it uses less digits than its factorization.

102432321321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42733.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102432321321 its reverse (123123234201), we get a palindrome (225555555522).

The spelling of 102432321321 in words is "one hundred two billion, four hundred thirty-two million, three hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 11 33 71 213 781 1051 2343 3153 11561 34683 41597 74621 124791 223863 457567 820831 1372701 2462493 2953387 8860161 32487257 43718447 97461771 131155341 480902917 1442708751 3104009737 9312029211 34144107107 102432321321