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111011212211020 = 225113675693241511
BaseRepresentation
bin11001001111011011001111…
…110111101011001101001100
3112120001120100020201112121221
4121033123033313223031030
5104022301430311223040
61032033502530533124
732245203216504502
oct3117331767531514
9476046306645557
10111011212211020
113240a655267190
121054a8724371a4
1349c340a435994
141d5ad854d8672
15cc79ca48574a
hex64f6cfdeb34c

111011212211020 has 96 divisors (see below), whose sum is σ = 255055405602816. Its totient is φ = 40250481657600.

The previous prime is 111011212210991. The next prime is 111011212211059. The reversal of 111011212211020 is 20112212110111.

It is a junction number, because it is equal to n+sod(n) for n = 111011212210985 and 111011212211003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459532065 + ... + 459773575.

It is an arithmetic number, because the mean of its divisors is an integer number (2656827141696).

Almost surely, 2111011212211020 is an apocalyptic number.

111011212211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111011212211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127527702801408).

111011212211020 is an abundant number, since it is smaller than the sum of its proper divisors (144044193391796).

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

111011212211020 is a wasteful number, since it uses less digits than its factorization.

111011212211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247591 (or 247589 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 111011212211020 its reverse (20112212110111), we get a palindrome (131123424321131).

It can be divided in two parts, 11101 and 1212211020, that added together give a palindrome (1212222121).

The spelling of 111011212211020 in words is "one hundred eleven trillion, eleven billion, two hundred twelve million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 367 734 1468 1835 3670 4037 5693 7340 8074 11386 16148 20185 22772 28465 40370 56930 62623 80740 113860 125246 241511 250492 313115 483022 626230 966044 1207555 1252460 2089331 2415110 2656621 4178662 4830220 5313242 8357324 10446655 10626484 13283105 20893310 22982641 26566210 41786620 45965282 53132420 88634537 91930564 114913205 177269074 229826410 354538148 443172685 459652820 886345370 974979907 1374922123 1772690740 1949959814 2749844246 3899919628 4874899535 5499688492 6874610615 9749799070 13749221230 15124143353 19499598140 27498442460 30248286706 60496573412 75620716765 151241433530 302482867060 504596419141 1009192838282 2018385676564 2522982095705 5045964191410 5550560610551 10091928382820 11101121221102 22202242442204 27752803052755 55505606105510 111011212211020