Search a number
-
+
112220210113121 = 112191071317514637
BaseRepresentation
bin11001100001000001001101…
…110000101010101001100001
3112201100010222101120102211202
4121201001031300222221201
5104202103442242104441
61034401130335450545
732431433264223335
oct3141011560525141
9481303871512752
10112220210113121
1132836362041300
1210705041386a55
134a80421c17ac6
141d9d6b6a4d7c5
15ce918a08619b
hex66104dc2aa61

112220210113121 has 96 divisors (see below), whose sum is σ = 132259814184960. Its totient is φ = 94867858800000.

The previous prime is 112220210113087. The next prime is 112220210113129. The reversal of 112220210113121 is 121311012022211.

It is not a de Polignac number, because 112220210113121 - 234 = 112203030243937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112220210113093 and 112220210113102.

It is not an unprimeable number, because it can be changed into a prime (112220210113129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24201035015 + ... + 24201039651.

It is an arithmetic number, because the mean of its divisors is an integer number (1377706397760).

Almost surely, 2112220210113121 is an apocalyptic number.

112220210113121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112220210113121 is a deficient number, since it is larger than the sum of its proper divisors (20039604071839).

112220210113121 is a wasteful number, since it uses less digits than its factorization.

112220210113121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5667 (or 5656 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 112220210113121 its reverse (121311012022211), we get a palindrome (233531222135332).

The spelling of 112220210113121 in words is "one hundred twelve trillion, two hundred twenty billion, two hundred ten million, one hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 11 19 107 121 131 209 751 1177 1441 2033 2299 2489 4637 8261 12947 14017 14269 15851 22363 27379 51007 80357 88103 90871 98381 154187 156959 245993 266323 301169 496159 561077 607447 883927 969133 1082191 1526783 1696057 1726549 1869239 2929553 3482387 5457749 6681917 9427021 9723197 10526767 10660463 11541493 11904101 16794613 20561629 32225083 38306257 60035239 64996829 66165353 73501087 103697231 115794437 126956423 184740743 200008573 226177919 372615409 421368827 456192697 714965119 727818883 1140669541 1234939751 1273738807 1396520653 2200094303 4098769499 5018119667 7079692771 7864616309 8006007713 8667661243 13584337261 24201037333 45086464489 48812618579 55199316337 77876620481 95344273673 149427709871 536938804369 856642825291 927439753001 1048787010403 5906326848059 10201837283011 112220210113121