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112121031112321 = 711172926920995231
BaseRepresentation
bin11001011111100100110110…
…001110110011011010000001
3112200222122222102210011202211
4121133210312032303122001
5104143442332431043241
61034243405101342121
732421322446511450
oct3137446616633201
9480878872704684
10112121031112321
11327a829808a040
12106a9982567941
134a73c7753140a
141d98988a62b97
15ce67d2e70781
hex65f9363b3681

112121031112321 has 128 divisors (see below), whose sum is σ = 153785640960000. Its totient is φ = 79044422553600.

The previous prime is 112121031112289. The next prime is 112121031112399. The reversal of 112121031112321 is 123211130121211.

It is not a de Polignac number, because 112121031112321 - 25 = 112121031112289 is a prime.

It is a super-2 number, since 2×1121210311123212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112121031112292 and 112121031112301.

It is not an unprimeable number, because it can be changed into a prime (112121031112421) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21433954776 + ... + 21433960006.

It is an arithmetic number, because the mean of its divisors is an integer number (1201450320000).

Almost surely, 2112121031112321 is an apocalyptic number.

112121031112321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112121031112321 is a deficient number, since it is larger than the sum of its proper divisors (41664609847679).

112121031112321 is a wasteful number, since it uses less digits than its factorization.

112121031112321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7663.

The product of its (nonzero) digits is 144, while the sum is 22.

Adding to 112121031112321 its reverse (123211130121211), we get a palindrome (235332161233532).

The spelling of 112121031112321 in words is "one hundred twelve trillion, one hundred twenty-one billion, thirty-one million, one hundred twelve thousand, three hundred twenty-one".

Divisors: 1 7 11 17 29 77 119 187 203 269 319 493 1309 1883 2099 2233 2959 3451 4573 5231 5423 7801 14693 20713 23089 32011 35683 36617 37961 50303 54607 57541 60871 85811 88927 132617 151699 161623 249781 352121 392513 402787 426097 564631 600677 622489 669581 928319 978197 1034807 1061893 1407139 1458787 1668689 2578883 2747591 3952417 4687067 6210941 6847379 7243649 9598727 9849973 10211509 10979869 11382877 11680823 15478529 16374299 18052181 23921363 28367713 40807031 43476587 67191089 76859083 79680139 105585997 108349703 114620093 120778559 167449541 180117289 186657773 198573991 263134993 278363083 285649217 318416201 448877341 693719527 739101979 845449913 1260821023 1306604411 1841944951 1948541581 2053235503 2228913407 2953584761 3061993913 3142141387 3502578211 4856036689 5413075417 7630914797 14372648521 20675093327 21433957391 24518047477 32489432371 37891527919 50210940937 53416403579 59543829587 85653958069 227426026597 351476586559 416806807109 552320350307 599577706483 942193538759 1456117287173 3866242452149 6595354771313 10192821010211 16017290158903 112121031112321