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1306262141041 = 1113171051511261
BaseRepresentation
bin10011000000100011010…
…010100111100001110001
311121212200122200011210211
4103000203102213201301
5132400211102003131
62440031043024121
7163242251666344
oct23004322474161
94555618604724
101306262141041
11463a89a19470
121911b466b041
1396245596b40
144731b11445b
1523ea3a8e5b1
hex130234a7871

1306262141041 has 32 divisors (see below), whose sum is σ = 1626451214976. Its totient is φ = 1030700160000.

The previous prime is 1306262141033. The next prime is 1306262141047. The reversal of 1306262141041 is 1401412626031.

It is a cyclic number.

It is not a de Polignac number, because 1306262141041 - 23 = 1306262141033 is a prime.

It is a super-2 number, since 2×13062621410412 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1306262140994 and 1306262141012.

It is not an unprimeable number, because it can be changed into a prime (1306262141047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2299351 + ... + 2810611.

It is an arithmetic number, because the mean of its divisors is an integer number (50826600468).

Almost surely, 21306262141041 is an apocalyptic number.

1306262141041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1306262141041 is a deficient number, since it is larger than the sum of its proper divisors (320189073935).

1306262141041 is a wasteful number, since it uses less digits than its factorization.

1306262141041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512353.

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 1306262141041 its reverse (1401412626031), we get a palindrome (2707674767072).

The spelling of 1306262141041 in words is "one trillion, three hundred six billion, two hundred sixty-two million, one hundred forty-one thousand, forty-one".

Divisors: 1 11 13 17 143 187 221 1051 2431 11561 13663 17867 150293 196537 232271 511261 2554981 5623871 6646393 8691437 73110323 95605807 112988681 537335311 1242875491 5910688421 6985359043 9134700287 76838949473 100481703157 118751103731 1306262141041