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312300333213011 = 11131091131631087787
BaseRepresentation
bin100011100000010010001011…
…0011011001010010101010011
31111221202121202011221200201022
41013000210112123022111103
5311413212040300304021
63024112443101230055
7122531645250624443
oct10700442633122523
91457677664850638
10312300333213011
119056591149a480
122b039a9186232b
1310534a4497c660
1457195b98d4123
1526189ad30d1ab
hex11c09166ca553

312300333213011 has 64 divisors (see below), whose sum is σ = 375833016599040. Its totient is φ = 255788787824640.

The previous prime is 312300333213007. The next prime is 312300333213019. The reversal of 312300333213011 is 110312333003213.

It is a cyclic number.

It is not a de Polignac number, because 312300333213011 - 22 = 312300333213007 is a prime.

It is a super-2 number, since 2×3123003332130112 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312300333213019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286553060 + ... + 287640846.

It is an arithmetic number, because the mean of its divisors is an integer number (5872390884360).

Almost surely, 2312300333213011 is an apocalyptic number.

312300333213011 is a deficient number, since it is larger than the sum of its proper divisors (63532683386029).

312300333213011 is a wasteful number, since it uses less digits than its factorization.

312300333213011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088196.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 312300333213011 its reverse (110312333003213), we get a palindrome (422612666216224).

The spelling of 312300333213011 in words is "three hundred twelve trillion, three hundred billion, three hundred thirty-three million, two hundred thirteen thousand, eleven".

Divisors: 1 11 13 109 113 143 163 1199 1243 1417 1469 1793 2119 12317 15587 16159 17767 18419 23309 135487 160121 195437 202609 230971 239447 1087787 1761331 2007671 2540681 2633917 11965657 14141231 22084381 26099723 118568783 122919931 155553541 177309281 287096953 1304256613 1352119241 1541394179 1597959103 1950402091 2305020653 13398272479 16955335969 17577550133 19326711629 20035948753 25355227183 147380997269 174177542227 212593827919 220395436283 251247251177 260467333789 1915952964497 2183918414077 2763719762947 2865140671679 24023102554847 28390939383001 312300333213011