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112224323422211 = 72112132227493393
BaseRepresentation
bin11001100001000101000010…
…111011101100100000000011
3112201100112121001111012010212
4121201011002323230200003
5104202140403244002321
61034403050434144335
732431640231613200
oct3141050273544003
9481315531435125
10112224323422211
1132838082987300
12107059aaa220ab
134a8092915cb00
141d9d98705aca7
15ce932b23e55b
hex661142eec803

112224323422211 has 108 divisors (see below), whose sum is σ = 156065280491736. Its totient is φ = 80365030986240.

The previous prime is 112224323422199. The next prime is 112224323422243.

It is a happy number.

112224323422211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112224323422211 - 26 = 112224323422147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112224323422261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 227207531 + ... + 227700923.

It is an arithmetic number, because the mean of its divisors is an integer number (1445048893442).

Almost surely, 2112224323422211 is an apocalyptic number.

112224323422211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112224323422211 is a deficient number, since it is larger than the sum of its proper divisors (43840957069525).

112224323422211 is a wasteful number, since it uses less digits than its factorization.

112224323422211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493682 (or 493651 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The spelling of 112224323422211 in words is "one hundred twelve trillion, two hundred twenty-four billion, three hundred twenty-three million, four hundred twenty-two thousand, two hundred eleven".

Divisors: 1 7 11 13 49 77 91 121 143 169 227 539 637 847 1001 1183 1573 1589 1859 2497 2951 5929 7007 8281 11011 11123 13013 17479 20449 20657 27467 32461 38363 77077 91091 122353 143143 144599 192269 227227 268541 357071 421993 493393 1002001 1345883 1590589 1879787 2499497 2953951 3453751 4641923 5427323 6414109 17496479 20677657 24176257 32493461 37991261 44898763 59700553 70555199 83383417 112000211 227454227 265938827 314291341 417903871 493886393 583683919 776107189 784001477 917217587 1232002321 1456002743 2925327097 3457204751 4085787433 5432750323 5488010339 6420523109 8624016247 10089393457 10192019201 13552025531 16016030173 18928035659 38029252261 44943661763 60368113729 70625754199 71344134407 94864178717 112112211211 132496249613 176176331903 208208392249 494380279393 664049251019 784785478477 927473747291 1233234323321 1457458745743 2290292314739 8632640263247 10202211220201 16032046203173 112224323422211