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131301302012231 = 131911322720723723
BaseRepresentation
bin11101110110101011110111…
…011101110000100101000111
3122012220021121111022211000012
4131312223313131300211013
5114202220031303342411
61143130552504140435
736441130444254161
oct3566536735604507
9565807544284005
10131301302012231
1138922629a7148a
12128870a446771b
135835876340460
14245d03462d931
15102a6ac95a18b
hex776af7770947

131301302012231 has 32 divisors (see below), whose sum is σ = 150822289578240. Its totient is φ = 113304711873024.

The previous prime is 131301302012207. The next prime is 131301302012233. The reversal of 131301302012231 is 132210203103131.

It is not a de Polignac number, because 131301302012231 - 226 = 131301234903367 is a prime.

It is a super-2 number, since 2×1313013020122312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131301302012197 and 131301302012206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131301302012233) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4026065 + ... + 16697658.

It is an arithmetic number, because the mean of its divisors is an integer number (4713196549320).

Almost surely, 2131301302012231 is an apocalyptic number.

131301302012231 is a deficient number, since it is larger than the sum of its proper divisors (19520987566009).

131301302012231 is a wasteful number, since it uses less digits than its factorization.

131301302012231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20724095.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 131301302012231 its reverse (132210203103131), we get a palindrome (263511505115362).

The spelling of 131301302012231 in words is "one hundred thirty-one trillion, three hundred one billion, three hundred two million, twelve thousand, two hundred thirty-one".

Divisors: 1 13 19 113 227 247 1469 2147 2951 4313 25651 27911 56069 333463 487369 6335797 20723723 269408399 393750737 2341780699 4704285121 5118759581 30443149087 44493833281 61155706573 89381417299 531584218673 578419832653 1161958424887 6910594842749 10100100154787 131301302012231