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131011431202143 = 3361293530951137
BaseRepresentation
bin11101110010011101111001…
…110100010111110101011111
3122011212120101220020221122000
4131302131321310113311133
5114132442402341432033
61142345453130453343
736411156253111452
oct3562357164276537
9564776356227560
10131011431202143
11388206aa4a8518
121283aa87294253
13581442bbc2b5b
14244cdb687d499
151022d94677a13
hex772779d17d5f

131011431202143 has 64 divisors (see below), whose sum is σ = 197987271753600. Its totient is φ = 85598129479680.

The previous prime is 131011431202133. The next prime is 131011431202153. The reversal of 131011431202143 is 341202134110131.

131011431202143 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 11 + 431 + 2 + 0 + 214 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (131011431202133) and next prime (131011431202153).

It is not a de Polignac number, because 131011431202143 - 25 = 131011431202111 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131011431202103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2561943871 + ... + 2561995007.

It is an arithmetic number, because the mean of its divisors is an integer number (3093551121150).

Almost surely, 2131011431202143 is an apocalyptic number.

131011431202143 is a deficient number, since it is larger than the sum of its proper divisors (66975840551457).

131011431202143 is a wasteful number, since it uses less digits than its factorization.

131011431202143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56809 (or 56803 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 131011431202143 its reverse (341202134110131), we get a palindrome (472213565312274).

The spelling of 131011431202143 in words is "one hundred thirty-one trillion, eleven billion, four hundred thirty-one million, two hundred two thousand, one hundred forty-three".

Divisors: 1 3 9 27 61 183 293 549 879 1647 2637 5309 7911 15927 17873 47781 51137 53619 143343 153411 160857 323849 460233 482571 971547 1380699 1555537 2914641 3119357 4666611 8743923 9358071 13999833 14983141 28074213 41999499 44949423 84222639 94887757 134848269 271486333 284663271 404544807 814458999 853989813 913971601 2443376997 2561969439 2741914803 7330130991 8225744409 16560666313 24677233227 49681998939 79545495569 149045996817 238636486707 447137990451 715909460121 2147728380363 4852275229709 14556825689127 43670477067381 131011431202143