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200131230340041 = 371113271245917957
BaseRepresentation
bin101101100000010010101110…
…111001001001001111001001
3222020121100200112200001102220
4231200102232321021033021
5202212422224431340131
61545351003515044253
760104001311643210
oct5540225671111711
9866540615601386
10200131230340041
115884a1a6131130
121a542934140689
1387893a901b870
14375c59067a077
151820d14e32e96
hexb604aee493c9

200131230340041 has 64 divisors (see below), whose sum is σ = 359598944280576. Its totient is φ = 95612901292800.

The previous prime is 200131230340037. The next prime is 200131230340043. The reversal of 200131230340041 is 140043032131002.

It is a happy number.

It is not a de Polignac number, because 200131230340041 - 22 = 200131230340037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200131230339993 and 200131230340020.

It is not an unprimeable number, because it can be changed into a prime (200131230340043) 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 63 ways as a sum of consecutive naturals, for example, 122145166 + ... + 123772791.

It is an arithmetic number, because the mean of its divisors is an integer number (5618733504384).

Almost surely, 2200131230340041 is an apocalyptic number.

200131230340041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

200131230340041 is a deficient number, since it is larger than the sum of its proper divisors (159467713940535).

200131230340041 is a wasteful number, since it uses less digits than its factorization.

200131230340041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245918262.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 200131230340041 its reverse (140043032131002), we get a palindrome (340174262471043).

The spelling of 200131230340041 in words is "two hundred trillion, one hundred thirty-one billion, two hundred thirty million, three hundred forty thousand, forty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 271 273 429 813 1001 1897 2981 3003 3523 5691 8943 10569 20867 24661 38753 62601 73983 116259 271271 813813 245917957 737753871 1721425699 2705097527 3196933441 5164277097 8115292581 9590800323 18935682689 22378534087 35166267851 56807048067 66643766347 67135602261 105498803553 199931299041 246163874957 466506364429 733081429817 738491624871 866368962511 1399519093287 2199244289451 2599106887533 5131570008719 6064582737577 9530058587621 15394710026157 18193748212731 28590175762863 66710410113347 200131230340041