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312411011323411 = 71121322182509877
BaseRepresentation
bin100011100001000101101101…
…1010110101001011000010011
31111222011012102112100020200101
41013002023123112221120103
5311422020222344322121
63024235345353233231
7122542644045220240
oct10702133326513023
91458135375306611
10312411011323411
11905a8847398a00
122b05741b702817
13105423027c3400
145720ab8b945c7
15261b7d9c02491
hex11c22db5a9613

312411011323411 has 36 divisors (see below), whose sum is σ = 424960863365136. Its totient is φ = 224711216832960.

The previous prime is 312411011323399. The next prime is 312411011323421. The reversal of 312411011323411 is 114323110114213.

It is not a de Polignac number, because 312411011323411 - 221 = 312411009226259 is a prime.

It is a super-2 number, since 2×3124110113234112 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312411011323411.

It is not an unprimeable number, because it can be changed into a prime (312411011323421) 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 35 ways as a sum of consecutive naturals, for example, 1091111796 + ... + 1091398081.

Almost surely, 2312411011323411 is an apocalyptic number.

312411011323411 is a deficient number, since it is larger than the sum of its proper divisors (112549852041725).

312411011323411 is a wasteful number, since it uses less digits than its factorization.

312411011323411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182509932 (or 2182509908 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 312411011323411 its reverse (114323110114213), we get a palindrome (426734121437624).

The spelling of 312411011323411 in words is "three hundred twelve trillion, four hundred eleven billion, eleven million, three hundred twenty-three thousand, four hundred eleven".

Divisors: 1 7 11 13 77 91 121 143 169 847 1001 1183 1573 1859 11011 13013 20449 143143 2182509877 15277569139 24007608647 28372628401 168053260529 198608398807 264083695117 312098912411 368844169213 1848585865819 2184692386877 2581909184491 3433088036521 4057285861343 24031616255647 28401001029401 44630144474773 312411011323411