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212320314131310 = 232571130637851967
BaseRepresentation
bin110000010001101010101100…
…111001110000001101101110
31000211202121211202020222111200
4300101222230321300031232
5210312124000404200220
62031322334503030330
762502431212453260
oct6021525471601556
91024677752228450
10212320314131310
11617195a3169a20
121b99112373b3a6
13916194828cbb8
143a6050263bb30
151982e12c8a890
hexc11aace7036e

212320314131310 has 96 divisors (see below), whose sum is σ = 688248706609152. Its totient is φ = 44118506831040.

The previous prime is 212320314131291. The next prime is 212320314131377. The reversal of 212320314131310 is 13131413023212.

212320314131310 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 2 + 0 + 314 + 1 + 31 + 310 = 666.

It is a super-2 number, since 2×2123203141313102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 15318919054 + ... + 15318932913.

It is an arithmetic number, because the mean of its divisors is an integer number (7169257360512).

Almost surely, 2212320314131310 is an apocalyptic number.

212320314131310 is an abundant number, since it is smaller than the sum of its proper divisors (475928392477842).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212320314131310 is a wasteful number, since it uses less digits than its factorization.

212320314131310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30637851998 (or 30637851995 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 212320314131310 its reverse (13131413023212), we get a palindrome (225451727154522).

The spelling of 212320314131310 in words is "two hundred twelve trillion, three hundred twenty billion, three hundred fourteen million, one hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 990 1155 1386 2310 3465 6930 30637851967 61275703934 91913555901 153189259835 183827111802 214464963769 275740667703 306378519670 337016371637 428929927538 459567779505 551481335406 643394891307 674032743274 919135559010 1011049114911 1072324818845 1286789782614 1378703338515 1685081858185 1930184673921 2022098229822 2144649637690 2359114601459 2757406677030 3033147344733 3216974456535 3370163716370 3860369347842 4718229202918 5055245574555 6066294689466 6433948913070 7077343804377 9650923369605 10110491149110 11795573007295 14154687608754 15165736723665 19301846739210 21232031413131 23591146014590 30331473447330 35386719021885 42464062826262 70773438043770 106160157065655 212320314131310