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102141012393 = 347225734697
BaseRepresentation
bin101111100100000010…
…1000010100110101001
3100202122101100001010000
41133020011002212221
53133141044344033
6114531204213213
710244102165100
oct1371005024651
9322571301100
10102141012393
113a354a36432
121796699a209
13982a259b94
144d2d545037
1529cc1a3a13
hex17c81429a9

102141012393 has 30 divisors (see below), whose sum is σ = 177492212106. Its totient is φ = 58366290528.

The previous prime is 102141012371. The next prime is 102141012397. The reversal of 102141012393 is 393210141201.

102141012393 is a `hidden beast` number, since 10 + 2 + 1 + 410 + 1 + 239 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101781417024 + 359595369 = 319032^2 + 18963^2 .

It is not a de Polignac number, because 102141012393 - 26 = 102141012329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102141012397) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 12863380 + ... + 12871317.

Almost surely, 2102141012393 is an apocalyptic number.

It is an amenable number.

102141012393 is a deficient number, since it is larger than the sum of its proper divisors (75351199713).

102141012393 is an equidigital number, since it uses as much as digits as its factorization.

102141012393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25734723 (or 25734707 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 102141012393 its reverse (393210141201), we get a palindrome (495351153594).

The spelling of 102141012393 in words is "one hundred two billion, one hundred forty-one million, twelve thousand, three hundred ninety-three".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 25734697 77204091 180142879 231612273 540428637 694836819 1261000153 1621285911 2084510457 3783000459 4863857733 11349001377 14591573199 34047004131 102141012393