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41343160131 = 3371316826683
BaseRepresentation
bin100110100000001111…
…101000111101000011
310221201021110010211000
4212200033220331003
51134132322111011
630554235223043
72662344030360
oct464017507503
9127637403730
1041343160131
1116596155139
1280198a7a83
133b8b41c580
142002b25467
15111e8a0356
hex9a03e8f43

41343160131 has 32 divisors (see below), whose sum is σ = 75383544320. Its totient is φ = 21807379872.

The previous prime is 41343160091. The next prime is 41343160147. The reversal of 41343160131 is 13106134314.

41343160131 is a `hidden beast` number, since 4 + 13 + 43 + 1 + 601 + 3 + 1 = 666.

It is not a de Polignac number, because 41343160131 - 217 = 41343029059 is a prime.

It is a super-2 number, since 2×413431601312 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 41343160095 and 41343160104.

It is not an unprimeable number, because it can be changed into a prime (41343162131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8410885 + ... + 8415798.

It is an arithmetic number, because the mean of its divisors is an integer number (2355735760).

Almost surely, 241343160131 is an apocalyptic number.

41343160131 is a deficient number, since it is larger than the sum of its proper divisors (34040384189).

41343160131 is a wasteful number, since it uses less digits than its factorization.

41343160131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16826712 (or 16826706 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 41343160131 its reverse (13106134314), we get a palindrome (54449294445).

The spelling of 41343160131 in words is "forty-one billion, three hundred forty-three million, one hundred sixty thousand, one hundred thirty-one".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 819 2457 16826683 50480049 117786781 151440147 218746879 353360343 454320441 656240637 1060081029 1531228153 1968721911 3180243087 4593684459 5906165733 13781053377 41343160131