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111201112120021 = 721117547163713553
BaseRepresentation
bin11001010010001100000110…
…110010010101101011010101
3112120201201111200220102221221
4121102030012302111223111
5104033404334200320041
61032301030301010341
732265005136215200
oct3122140662255325
9476651450812857
10111201112120021
113248314386a540
121057b62b5539b1
134a082b20c1641
141d6623c040937
15ccc8e1d7a2d1
hex652306c95ad5

111201112120021 has 96 divisors (see below), whose sum is σ = 149792663809152. Its totient is φ = 81348323696640.

The previous prime is 111201112120019. The next prime is 111201112120037. The reversal of 111201112120021 is 120021211102111.

It is not a de Polignac number, because 111201112120021 - 21 = 111201112120019 is a prime.

It is a super-2 number, since 2×1112011121200212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111201112119977 and 111201112120004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111201112180021) 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, 8204900781 + ... + 8204914333.

It is an arithmetic number, because the mean of its divisors is an integer number (1560340248012).

Almost surely, 2111201112120021 is an apocalyptic number.

111201112120021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111201112120021 is a deficient number, since it is larger than the sum of its proper divisors (38591551689131).

111201112120021 is a wasteful number, since it uses less digits than its factorization.

111201112120021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15779 (or 15772 counting only the distinct ones).

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

Adding to 111201112120021 its reverse (120021211102111), we get a palindrome (231222323222132).

The spelling of 111201112120021 in words is "one hundred eleven trillion, two hundred one billion, one hundred twelve million, one hundred twenty thousand, twenty-one".

Divisors: 1 7 11 17 49 77 119 187 539 547 833 1309 1637 3829 6017 9163 9299 11459 13553 18007 26803 27829 42119 65093 80213 94871 102289 126049 149083 194803 230401 294833 306119 455651 664097 716023 882343 895439 1043581 1363621 1612807 2142833 2534411 5012161 6268073 7305067 7413491 9849829 11289649 14999831 15222463 17740877 22186261 43876511 51894437 68948803 81548401 106557241 124186139 126029347 155303827 167447093 244048871 363261059 377166437 482641621 570838807 745900687 882205429 1087126789 1172129651 1386322817 1708342097 2640165059 3995871649 4148830807 6175438003 8204907557 9704259719 11958394679 12135884767 18481155413 29041815649 67929818033 84951193369 133494732437 203292709543 206310041039 594658353583 934463127059 1444170287273 2269410451429 6541241889413 10109192010911 15885873160003 111201112120021