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121113313013322 = 232721937253194003
BaseRepresentation
bin11011100010011011100011…
…111111111110111001001010
3120212211022122000121221200200
4123202123203333332321022
5111333310031112411242
61105330404330313030
734340101541515500
oct3342334377767112
9525738560557620
10121113313013322
113565495a862153
12117006a3588776
135276c233aca06
1421c9cb66a2670
15e0067dc8804c
hex6e26e3ffee4a

121113313013322 has 144 divisors (see below), whose sum is σ = 321331316211360. Its totient is φ = 32781501918144.

The previous prime is 121113313013311. The next prime is 121113313013369. The reversal of 121113313013322 is 223310313311121.

121113313013322 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 1 + 3 + 31 + 301 + 3 + 322 = 666.

It is a super-2 number, since 2×1211133130133222 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 624188773 + ... + 624382775.

It is an arithmetic number, because the mean of its divisors is an integer number (2231467473690).

Almost surely, 2121113313013322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121113313013322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160665658105680).

121113313013322 is an abundant number, since it is smaller than the sum of its proper divisors (200218003198038).

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

121113313013322 is a wasteful number, since it uses less digits than its factorization.

121113313013322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231297 (or 231287 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 121113313013322 its reverse (223310313311121), we get a palindrome (344423626324443).

The spelling of 121113313013322 in words is "one hundred twenty-one trillion, one hundred thirteen billion, three hundred thirteen million, thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 399 441 798 882 931 1197 1862 2394 2793 5586 8379 16758 37253 74506 111759 194003 223518 260771 335277 388006 521542 582009 670554 707807 782313 1164018 1358021 1415614 1564626 1746027 1825397 2123421 2346939 2716042 3492054 3650794 3686057 4074063 4246842 4693878 4954649 5476191 6370263 7372114 8148126 9506147 9909298 10952382 11058171 12222189 12740526 14863947 16428573 19012294 22116342 24444378 25802399 28518441 29727894 32857146 33174513 34682543 44591841 51604798 57036882 66349026 69365086 77407197 85555323 89183682 104047629 154814394 171110646 180616793 208095258 232221591 312142887 361233586 464443182 541850379 624285774 1083700758 1625551137 3251102274 7227193759 14454387518 21681581277 43363162554 50590356313 65044743831 101180712626 130089487662 137316681421 151771068939 274633362842 303542137878 354132494191 411950044263 455313206817 708264988382 823900088526 910626413634 961216769947 1062397482573 1235850132789 1922433539894 2124794965146 2471700265578 2883650309841 3187192447719 5767300619682 6374384895438 6728517389629 8650950929523 13457034779258 17301901859046 20185552168887 40371104337774 60556656506661 121113313013322