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1306430510231 = 711172934415071
BaseRepresentation
bin10011000000101101010…
…100111001010010010111
311121220010101111012220202
4103000231110321102113
5132401032202311411
62440055455451115
7163246365053540
oct23005524712227
94556111435822
101306430510231
11464065a67760
12191240b26a9b
1396271427a92
14473356214c7
1523eb374b83b
hex1302d539497

1306430510231 has 32 divisors (see below), whose sum is σ = 1784077332480. Its totient is φ = 925077081600.

The previous prime is 1306430510221. The next prime is 1306430510239. The reversal of 1306430510231 is 1320150346031.

It is not a de Polignac number, because 1306430510231 - 210 = 1306430509207 is a prime.

It is a super-2 number, since 2×13064305102312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 1306430510194 and 1306430510203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306430510239) 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, 17169575 + ... + 17245496.

It is an arithmetic number, because the mean of its divisors is an integer number (55752416640).

Almost surely, 21306430510231 is an apocalyptic number.

1306430510231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1306430510231 is a deficient number, since it is larger than the sum of its proper divisors (477646822249).

1306430510231 is a wasteful number, since it uses less digits than its factorization.

1306430510231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34415135.

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 1306430510231 its reverse (1320150346031), we get a palindrome (2626580856262).

The spelling of 1306430510231 in words is "one trillion, three hundred six billion, four hundred thirty million, five hundred ten thousand, two hundred thirty-one".

Divisors: 1 7 11 17 29 77 119 187 203 319 493 1309 2233 3451 5423 37961 34415071 240905497 378565781 585056207 998037059 2649960467 4095393449 6435618277 6986259413 10978407649 16966630003 45049327939 76848853543 118766410021 186632930033 1306430510231