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220312343213022 = 231737229257991901
BaseRepresentation
bin110010000101111101110110…
…111101001111001111011110
31001220001122122222221210002010
4302011331312331033033132
5212334044134330304042
62100322032050412050
764256020150004634
oct6205756675171736
91056048588853063
10220312343213022
116421aa38238285
1220862011b91026
1395c1498683c58
143c59262423354
151a70c6a04c59c
hexc85f76f4f3de

220312343213022 has 128 divisors (see below), whose sum is σ = 483118486093440. Its totient is φ = 66695292518400.

The previous prime is 220312343212991. The next prime is 220312343213087.

220312343213022 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221615272 + ... + 222607172.

It is an arithmetic number, because the mean of its divisors is an integer number (3774363172605).

Almost surely, 2220312343213022 is an apocalyptic number.

220312343213022 is an abundant number, since it is smaller than the sum of its proper divisors (262806142880418).

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

220312343213022 is a wasteful number, since it uses less digits than its factorization.

220312343213022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992446.

The product of its (nonzero) digits is 20736, while the sum is 30.

The spelling of 220312343213022 in words is "two hundred twenty trillion, three hundred twelve billion, three hundred forty-three million, two hundred thirteen thousand, twenty-two".

Divisors: 1 2 3 6 17 34 37 51 74 102 111 222 229 257 458 514 629 687 771 1258 1374 1542 1887 3774 3893 4369 7786 8473 8738 9509 11679 13107 16946 19018 23358 25419 26214 28527 50838 57054 58853 117706 144041 161653 176559 288082 323306 353118 432123 484959 864246 969918 991901 1000501 1983802 2001002 2177561 2975703 3001503 4355122 5951406 6003006 6532683 13065366 16862317 33724634 36700337 37018537 50586951 73400674 74037074 101173902 110101011 111055611 220202022 222111222 227145329 254918557 454290658 509837114 623905729 681435987 764755671 1247811458 1362871974 1529511342 1871717187 3743434374 3861470593 4333615469 7722941186 8404377173 8667230938 9431986609 11584411779 13000846407 16808754346 18863973218 23168823558 25213131519 26001692814 28295959827 50426263038 56591919654 58376349553 116752699106 142874411941 160343772353 175129048659 285748823882 320687544706 350258097318 428623235823 481031317059 857246471646 962062634118 992397942401 1984795884802 2159924933461 2977193827203 4319849866922 5954387654406 6479774800383 12959549600766 36718723868837 73437447737674 110156171606511 220312343213022