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312132120334341 = 323613731193316661
BaseRepresentation
bin100011011111000011110110…
…0001001111101000000000101
31111221011112120010202002011220
41012332013230021331000011
5311402433040301144331
63023503303323350553
7122513541630014526
oct10676075411750005
91457145503662156
10312132120334341
119050054172aa8a
122b011367682459
1310521c18056718
1457113bd34084d
152614415825296
hex11be1ec27d005

312132120334341 has 64 divisors (see below), whose sum is σ = 442636974134784. Its totient is φ = 195224854809600.

The previous prime is 312132120334291. The next prime is 312132120334357. The reversal of 312132120334341 is 143433021231213.

It is not a de Polignac number, because 312132120334341 - 229 = 312131583463429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312132120339341) 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, 18734288551 + ... + 18734305211.

It is an arithmetic number, because the mean of its divisors is an integer number (6916202720856).

Almost surely, 2312132120334341 is an apocalyptic number.

It is an amenable number.

312132120334341 is a deficient number, since it is larger than the sum of its proper divisors (130504853800443).

312132120334341 is a wasteful number, since it uses less digits than its factorization.

312132120334341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29054.

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 312132120334341 its reverse (143433021231213), we get a palindrome (455565141565554).

The spelling of 312132120334341 in words is "three hundred twelve trillion, one hundred thirty-two billion, one hundred twenty million, three hundred thirty-four thousand, three hundred forty-one".

Divisors: 1 3 23 61 69 183 373 1119 1403 4209 8579 11933 16661 22753 25737 35799 49983 68259 274459 383203 523319 727913 823377 1016321 1149609 1569957 2183739 3048963 4451009 6214553 13353027 16741999 18643659 23375383 50225997 70126149 102373207 142934719 198815713 271511549 307119621 379087733 428804157 596447139 814534647 1137263199 4572761399 6244765627 8719017859 12127758493 13718284197 18734296881 26157053577 36383275479 74158260949 222474782847 278938445339 836815336017 1705640001827 4523653917889 5116920005481 13570961753667 104044040111447 312132120334341