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312424220130022 = 271121321764194181
BaseRepresentation
bin100011100001001011110111…
…0101010001111101011100110
31111222012110112002001010222001
41013002113232222033223212
5311422224300323130042
63024245412203555514
7122543622265221430
oct10702275652175346
91458173462033861
10312424220130022
1190603405420900
122b059aa722bb9a
1310543629213a00
1457215ad155650
15261bd0e64cbb7
hex11c25eea8fae6

312424220130022 has 144 divisors (see below), whose sum is σ = 674966388541536. Its totient is φ = 105750924364800.

The previous prime is 312424220130019. The next prime is 312424220130083. The reversal of 312424220130022 is 220031022424213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27230229 + ... + 36963952.

It is an arithmetic number, because the mean of its divisors is an integer number (4687266587094).

Almost surely, 2312424220130022 is an apocalyptic number.

312424220130022 is an abundant number, since it is smaller than the sum of its proper divisors (362542168411514).

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

312424220130022 is a wasteful number, since it uses less digits than its factorization.

312424220130022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64194255 (or 64194231 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 312424220130022 its reverse (220031022424213), we get a palindrome (532455242554235).

The spelling of 312424220130022 in words is "three hundred twelve trillion, four hundred twenty-four billion, two hundred twenty million, one hundred thirty thousand, twenty-two".

Divisors: 1 2 7 11 13 14 17 22 26 34 77 91 119 121 143 154 169 182 187 221 238 242 286 338 374 442 847 1001 1183 1309 1547 1573 1694 1859 2002 2057 2366 2431 2618 2873 3094 3146 3718 4114 4862 5746 11011 13013 14399 17017 20111 20449 22022 26026 26741 28798 31603 34034 40222 40898 53482 63206 143143 187187 221221 286286 347633 374374 442442 695266 2433431 4866862 64194181 128388362 449359267 706135991 834524353 898718534 1091301077 1412271982 1669048706 2182602154 4942951937 5841670471 7639107539 7767495901 9179767883 9885903874 10848816589 11683340942 12004311847 14186914001 15278215078 15534991802 18359535766 21697633178 24008623694 28373828002 54372471307 64258375181 75941716123 84030182929 99308398007 100977446713 108744942614 119336982479 128516750362 132047430317 151883432246 156056054011 168060365858 184429882013 198616796014 201954893426 238673964958 264094860634 312112108022 368859764026 706842126991 835358877353 924332012219 1092392378077 1291009174091 1312706807269 1413684253982 1670717754706 1716616594121 1848664024438 2028728702143 2184784756154 2582018348182 2625413614538 3433233188242 4057457404286 9188947650883 12016316158847 14201100915001 18377895301766 22316015723573 24032632317694 28402201830002 44632031447146 156212110065011 312424220130022