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111201300331121 = 71121317967383833
BaseRepresentation
bin11001010010001100010010…
…000000010011101001110001
3112120201201222211001120001102
4121102030102000103221301
5104033410230341043441
61032301101103014145
732265012613042460
oct3122142200235161
9476651884046042
10111201300331121
1132483230030300
121057b68259a355
134a083120aba60
141d662590349d7
15ccc90365669b
hex652312013a71

111201300331121 has 96 divisors (see below), whose sum is σ = 151503356148480. Its totient is φ = 79418976215040.

The previous prime is 111201300331117. The next prime is 111201300331123. The reversal of 111201300331121 is 121133003102111.

It is not a de Polignac number, because 111201300331121 - 22 = 111201300331117 is a prime.

It is a super-2 number, since 2×1112013003311212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111201300331093 and 111201300331102.

It is not an unprimeable number, because it can be changed into a prime (111201300331123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1326420221 + ... + 1326504053.

It is an arithmetic number, because the mean of its divisors is an integer number (1578159959880).

Almost surely, 2111201300331121 is an apocalyptic number.

111201300331121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111201300331121 is a deficient number, since it is larger than the sum of its proper divisors (40302055817359).

111201300331121 is a wasteful number, since it uses less digits than its factorization.

111201300331121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84727 (or 84716 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 111201300331121 its reverse (121133003102111), we get a palindrome (232334303433232).

The spelling of 111201300331121 in words is "one hundred eleven trillion, two hundred one billion, three hundred million, three hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 7 11 13 77 91 121 143 179 673 847 1001 1253 1573 1969 2327 4711 7403 8749 11011 13783 16289 21659 25597 51821 61243 81433 83833 96239 120467 151613 179179 281567 570031 586831 673673 843269 922163 1058629 1089829 1325137 1566071 1970969 6455141 7410403 7628803 9275959 10143793 10962497 11988119 14576507 15006107 17226781 56419609 71006551 83916833 102035549 105042749 120587467 131869309 165067177 189494591 195079391 394937263 620615699 733454917 923085163 1155470239 1326462137 1365555737 1815738947 2145873301 4344309893 5134184419 6826772689 8068004087 10099110011 12710172629 15021113107 23604606311 47787408823 56476028609 70693770077 88748044957 111090210121 131288430143 165232244177 621236314699 777631470847 919019011001 1221992311331 1444172731573 8553946179317 10109209121011 15885900047303 111201300331121