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131143222024331 = 11372536712702299
BaseRepresentation
bin11101110100011000101001…
…001010011101100010001011
3122012100011120121221101110112
4131310120221022131202023
5114142122304314234311
61142530210421304535
736423533203446656
oct3564305112354213
9565304517841415
10131143222024331
1138871589a32890
121286052786514b
1358239a2ac318a
142455519b1289d
15102650983028b
hex77462929d88b

131143222024331 has 16 divisors (see below), whose sum is σ = 146937767558400. Its totient is φ = 115994336784480.

The previous prime is 131143222024169. The next prime is 131143222024361. The reversal of 131143222024331 is 133420222341131.

It is not a de Polignac number, because 131143222024331 - 214 = 131143222007947 is a prime.

It is a super-2 number, since 2×1311432220243312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131143222024361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3973220 + ... + 16675518.

It is an arithmetic number, because the mean of its divisors is an integer number (9183610472400).

Almost surely, 2131143222024331 is an apocalyptic number.

131143222024331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131143222024331 is a deficient number, since it is larger than the sum of its proper divisors (15794545534069).

131143222024331 is a wasteful number, since it uses less digits than its factorization.

131143222024331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12727714.

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 131143222024331 its reverse (133420222341131), we get a palindrome (264563444365462).

The spelling of 131143222024331 in words is "one hundred thirty-one trillion, one hundred forty-three billion, two hundred twenty-two million, twenty-four thousand, three hundred thirty-one".

Divisors: 1 11 37 407 25367 279037 938579 10324369 12702299 139725289 469985063 5169835693 322219218733 3544411406063 11922111093121 131143222024331