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312042224411331 = 32959773613312823
BaseRepresentation
bin100011011110011001111110…
…1111100001110001011000011
31111220211221112010201000211220
41012330303331330032023003
5311344444433422130311
63023354115142010123
7122504210133203451
oct10674637574161303
91456757463630756
10312042224411331
1190476400835537
122abb7a59716943
13105165bc97487b
14570acd21b59d1
152611e036a6206
hex11bccfdf0e2c3

312042224411331 has 64 divisors (see below), whose sum is σ = 438369911884800. Its totient is φ = 197147484301824.

The previous prime is 312042224411237. The next prime is 312042224411339. The reversal of 312042224411331 is 133114422240213.

It is not a de Polignac number, because 312042224411331 - 214 = 312042224394947 is a prime.

It is a super-2 number, since 2×3120422244113312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312042224411292 and 312042224411301.

It is not an unprimeable number, because it can be changed into a prime (312042224411339) 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, 24334566186 + ... + 24334579008.

It is an arithmetic number, because the mean of its divisors is an integer number (6849529873200).

Almost surely, 2312042224411331 is an apocalyptic number.

312042224411331 is a deficient number, since it is larger than the sum of its proper divisors (126327687473469).

312042224411331 is a wasteful number, since it uses less digits than its factorization.

312042224411331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19820.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 312042224411331 its reverse (133114422240213), we get a palindrome (445156646651544).

The spelling of 312042224411331 in words is "three hundred twelve trillion, forty-two billion, two hundred twenty-four million, four hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 29 59 87 177 773 1711 2319 5133 6133 12823 18399 22417 38469 45607 67251 136821 177857 361847 371867 533571 756557 1085541 1115601 1322603 2269671 3967809 4740809 9912179 10493563 14222427 21940153 29736537 31480689 65820459 78643459 137483461 235930377 279707731 287453191 412450383 584818561 839123193 862359573 1754455683 2280660311 4639964081 6841980933 8111524199 13919892243 16959738269 24334572597 50879214807 60791393807 134558958349 182374181421 403676875047 1762950420403 3586692234613 5288851261209 10760076703839 104014074803777 312042224411331