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112001111121213 = 321753731371381057
BaseRepresentation
bin11001011101110101001010…
…011100010101110100111101
3112200120012110000011102211200
4121131311022130111310331
5104140011233421334323
61034112333344010113
732406545641430226
oct3135651234256475
9480505400142750
10112001111121213
113276144a401876
121068a695600939
134a65875aab4b2
141d92c501c624d
15ce3615021443
hex65dd4a715d3d

112001111121213 has 96 divisors (see below), whose sum is σ = 178210111244256. Its totient is φ = 67508315357184.

The previous prime is 112001111121203. The next prime is 112001111121223. The reversal of 112001111121213 is 312121111100211.

It is an interprime number because it is at equal distance from previous prime (112001111121203) and next prime (112001111121223).

It can be written as a sum of positive squares in 16 ways, for example, as 2863767599289 + 109137343521924 = 1692267^2 + 10446882^2 .

It is not a de Polignac number, because 112001111121213 - 24 = 112001111121197 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112001111121203) 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, 80407581 + ... + 81788637.

It is an arithmetic number, because the mean of its divisors is an integer number (1856355325461).

Almost surely, 2112001111121213 is an apocalyptic number.

It is an amenable number.

112001111121213 is a deficient number, since it is larger than the sum of its proper divisors (66209000123043).

112001111121213 is a wasteful number, since it uses less digits than its factorization.

112001111121213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381343 (or 1381340 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 112001111121213 its reverse (312121111100211), we get a palindrome (424122222221424).

The spelling of 112001111121213 in words is "one hundred twelve trillion, one billion, one hundred eleven million, one hundred twenty-one thousand, two hundred thirteen".

Divisors: 1 3 9 17 51 53 73 137 153 159 219 411 477 657 901 1233 1241 2329 2703 3723 3869 6987 7261 8109 10001 11169 11607 20961 21783 30003 34821 65349 65773 90009 123437 170017 197319 370311 510051 530053 591957 1110933 1381057 1530153 1590159 4143171 4770477 9010901 12429513 23477969 27032703 70433907 73196021 81098109 100817161 189204809 211301721 219588063 302451483 567614427 658764189 907354449 1244332357 1702843281 1713891737 3216481753 3732997071 5141675211 5343309533 9649445259 10027854877 11198991213 13811951057 15425025633 16029928599 28948335777 30083564631 41435853171 48089785797 90250693893 90836262061 124307559513 170473532909 234803167969 272508786183 511420598727 704409503907 732033406021 817526358549 1534261796181 2113228511721 2196100218063 6588300654189 12444567902357 37333703707071 112001111121213