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102305343231 = 32713196574471
BaseRepresentation
bin101111101000111011…
…1111010011011111111
3100210001211112220122100
41133101313322123333
53134010131440411
6114555354320143
710251136032540
oct1372167723377
9323054486570
10102305343231
113a429776643
12179b1a29053
139855305970
144d472c04c7
1529db814456
hex17d1dfa6ff

102305343231 has 48 divisors (see below), whose sum is σ = 191448624640. Its totient is φ = 51123078720.

The previous prime is 102305343227. The next prime is 102305343233. The reversal of 102305343231 is 132343503201.

102305343231 is a `hidden beast` number, since 1 + 0 + 2 + 305 + 34 + 323 + 1 = 666.

It is not a de Polignac number, because 102305343231 - 22 = 102305343227 is a prime.

It is a super-2 number, since 2×1023053432312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102305343195 and 102305343204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102305343233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3271675 + ... + 3302796.

Almost surely, 2102305343231 is an apocalyptic number.

102305343231 is a deficient number, since it is larger than the sum of its proper divisors (89143281409).

102305343231 is a wasteful number, since it uses less digits than its factorization.

102305343231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6574516 (or 6574513 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 102305343231 its reverse (132343503201), we get a palindrome (234648846432).

The spelling of 102305343231 in words is "one hundred two billion, three hundred five million, three hundred forty-three thousand, two hundred thirty-one".

Divisors: 1 3 7 9 13 19 21 39 57 63 91 117 133 171 247 273 399 741 819 1197 1729 2223 5187 15561 6574471 19723413 46021297 59170239 85468123 124914949 138063891 256404369 374744847 414191673 598276861 769213107 874404643 1124234541 1623894337 1794830583 2623213929 4871683011 5384491749 7869641787 11367260359 14615049033 34101781077 102305343231