Search a number
-
+
102141232113 = 3432712231163
BaseRepresentation
bin101111100100000010…
…1111000001111110001
3100202122101202012111210
41133020011320033301
53133141123411423
6114531213030333
710244104101504
oct1371005701761
9322571665453
10102141232113
113a355076518
1217966a853a9
13982a305bab
144d2d5a113b
1529cc1e8b93
hex17c81783f1

102141232113 has 48 divisors (see below), whose sum is σ = 142149095424. Its totient is φ = 65223617760.

The previous prime is 102141232093. The next prime is 102141232177. The reversal of 102141232113 is 311232141201.

It is not a de Polignac number, because 102141232113 - 210 = 102141231089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102141232113.

It is not an unprimeable number, because it can be changed into a prime (102141232313) 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 47 ways as a sum of consecutive naturals, for example, 87825070 + ... + 87826232.

It is an arithmetic number, because the mean of its divisors is an integer number (2961439488).

Almost surely, 2102141232113 is an apocalyptic number.

It is an amenable number.

102141232113 is a deficient number, since it is larger than the sum of its proper divisors (40007863311).

102141232113 is a wasteful number, since it uses less digits than its factorization.

102141232113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 102141232113 its reverse (311232141201), we get a palindrome (413373373314).

The spelling of 102141232113 in words is "one hundred two billion, one hundred forty-one million, two hundred thirty-two thousand, one hundred thirteen".

Divisors: 1 3 43 71 129 213 223 669 1163 1849 3053 3489 5547 9159 9589 15833 28767 47499 50009 82573 131279 150027 247719 259349 393837 412327 680819 778047 1236981 2042457 2150387 3550639 6451161 10651917 11152007 18413779 29275217 33456021 55241337 87825651 152677477 458032431 479536301 791792497 1438608903 2375377491 34047077371 102141232113