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312414131310022 = 27172833732494123
BaseRepresentation
bin100011100001000111001010…
…1010100011100110111000110
31111222011111110222010222201001
41013002032111110130313012
5311422043120103410042
63024241023125323514
7122543114261530150
oct10702162524346706
91458144428128631
10312414131310022
11905aa0a8561035
122b057b5056659a
13105426abcc8731
145720cd32b1ad0
15261b91da97bb7
hex11c239551cdc6

312414131310022 has 96 divisors (see below), whose sum is σ = 577322584134912. Its totient is φ = 124163698300416.

The previous prime is 312414131310007. The next prime is 312414131310077. The reversal of 312414131310022 is 220013131414213.

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, 124013053 + ... + 126507175.

It is an arithmetic number, because the mean of its divisors is an integer number (6013776918072).

Almost surely, 2312414131310022 is an apocalyptic number.

312414131310022 is a deficient number, since it is larger than the sum of its proper divisors (264908452824890).

312414131310022 is a wasteful number, since it uses less digits than its factorization.

312414131310022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494622 (or 2494605 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 312414131310022 its reverse (220013131414213), we get a palindrome (532427262724235).

The spelling of 312414131310022 in words is "three hundred twelve trillion, four hundred fourteen billion, one hundred thirty-one million, three hundred ten thousand, twenty-two".

Divisors: 1 2 7 14 17 34 83 119 166 238 289 373 578 581 746 1162 1411 2023 2611 2822 4046 5222 6341 9877 12682 19754 23987 30959 44387 47974 61918 88774 107797 167909 215594 216713 335818 433426 526303 754579 1052606 1509158 2494123 3684121 4988246 7368242 8947151 17458861 17894302 34917722 42400091 62630057 84800182 125260114 207012209 296800637 414024418 593601274 720801547 930307879 1441603094 1449085463 1860615758 2898170926 3519207553 5045610829 6512155153 7038415106 10091221658 13024310306 15815233943 24634452871 31630467886 49268905742 59826528401 77215553957 110706637601 119653056802 154431107914 221413275202 268858977031 418785698807 537717954062 540508877699 837571397614 1081017755398 1312664417269 1882012839217 2625328834538 3764025678434 9188650920883 18377301841766 22315295093573 44630590187146 156207065655011 312414131310022