Search a number
-
+
131043314405355 = 35112929539274051
BaseRepresentation
bin11101110010111011100110…
…001101001000111111101011
3122011222121200220010111011020
4131302323212031020333223
5114134003201441432410
61142412244554303523
736413365330631622
oct3562734615107753
9564877626114136
10131043314405355
1138833180764a40
12128450a4a27ba3
13581744048a381
14245075d05c6b9
151023b0d792a70
hex772ee6348feb

131043314405355 has 64 divisors (see below), whose sum is σ = 236697548613120. Its totient is φ = 61324470144000.

The previous prime is 131043314405347. The next prime is 131043314405401. The reversal of 131043314405355 is 553504413340131.

It is not a de Polignac number, because 131043314405355 - 23 = 131043314405347 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9493080 + ... + 18767130.

It is an arithmetic number, because the mean of its divisors is an integer number (3698399197080).

Almost surely, 2131043314405355 is an apocalyptic number.

131043314405355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131043314405355 is a deficient number, since it is larger than the sum of its proper divisors (105654234207765).

131043314405355 is a wasteful number, since it uses less digits than its factorization.

131043314405355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9277052.

The product of its (nonzero) digits is 648000, while the sum is 42.

Adding to 131043314405355 its reverse (553504413340131), we get a palindrome (684547727745486).

The spelling of 131043314405355 in words is "one hundred thirty-one trillion, forty-three billion, three hundred fourteen million, four hundred five thousand, three hundred fifty-five".

Divisors: 1 3 5 11 15 29 33 55 87 145 165 319 435 957 1595 2953 4785 8859 14765 32483 44295 85637 97449 162415 256911 428185 487245 942007 1284555 2826021 4710035 9274051 14130105 27822153 46370255 102014561 139110765 268947479 306043683 510072805 806842437 1344737395 1530218415 2958422269 4034212185 8875266807 14792111345 27386272603 44376334035 82158817809 136931363015 301248998633 410794089045 794201905487 903746995899 1506244993165 2382605716461 3971009527435 4518734979495 8736220960357 11913028582305 26208662881071 43681104801785 131043314405355