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131043241152031 = 13219717832207549
BaseRepresentation
bin11101110010111011100001…
…110101101100111000011111
3122011222121111210021211111011
4131302323201311230320133
5114134003024213331111
61142412233420240051
736413363451165235
oct3562734165547037
9564877453254434
10131043241152031
11388331433816aa
12128450843a0027
13581742b24cb00
142450753430955
151023b07123021
hex772ee1d6ce1f

131043241152031 has 24 divisors (see below), whose sum is σ = 142699246192800. Its totient is φ = 120281413988736.

The previous prime is 131043241152017. The next prime is 131043241152041. The reversal of 131043241152031 is 130251142340131.

It is a happy number.

It is not a de Polignac number, because 131043241152031 - 237 = 130905802198559 is a prime.

It is a super-2 number, since 2×1310432411520312 (a number of 29 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 = 131043241151984 and 131043241152002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131043241152041) 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 23 ways as a sum of consecutive naturals, for example, 58257645 + ... + 60465193.

It is an arithmetic number, because the mean of its divisors is an integer number (5945801924700).

Almost surely, 2131043241152031 is an apocalyptic number.

131043241152031 is a deficient number, since it is larger than the sum of its proper divisors (11656005040769).

131043241152031 is a wasteful number, since it uses less digits than its factorization.

131043241152031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209555 (or 2209542 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 131043241152031 its reverse (130251142340131), we get a palindrome (261294383492162).

The spelling of 131043241152031 in words is "one hundred thirty-one trillion, forty-three billion, two hundred forty-one million, one hundred fifty-two thousand, thirty-one".

Divisors: 1 13 169 197 1783 2561 23179 33293 301327 351251 2207549 4566263 28698137 59361419 373075781 434887153 3936059867 5653532989 51168778271 73495928857 665194117523 775403793799 10080249319387 131043241152031