Search a number
-
+
112111020221121 = 32238361311064311
BaseRepresentation
bin11001011111011011100001…
…100010010010001011000001
3112200221201010202112012201200
4121133123201202102023001
5104143311332134033441
61034235031445251413
732420516410365645
oct3137334142221301
9480851122465650
10112111020221121
11327a4020206339
12106a7a49a03b69
134a730404cc85c
141d982b92a6c25
15ce63e91607b6
hex65f6e18922c1

112111020221121 has 48 divisors (see below), whose sum is σ = 171042873910272. Its totient is φ = 70618160527200.

The previous prime is 112111020221113. The next prime is 112111020221129. The reversal of 112111020221121 is 121122020111211.

It is a happy number.

112111020221121 is a `hidden beast` number, since 1 + 121 + 110 + 202 + 211 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (112111020221113) and next prime (112111020221129).

It is not a de Polignac number, because 112111020221121 - 23 = 112111020221113 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112111020221094 and 112111020221103.

It is not an unprimeable number, because it can be changed into a prime (112111020221129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104804556 + ... + 105868866.

It is an arithmetic number, because the mean of its divisors is an integer number (3563393206464).

Almost surely, 2112111020221121 is an apocalyptic number.

It is an amenable number.

112111020221121 is a deficient number, since it is larger than the sum of its proper divisors (58931853689151).

112111020221121 is a wasteful number, since it uses less digits than its factorization.

112111020221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070554 (or 1070551 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112111020221121 its reverse (121122020111211), we get a palindrome (233233040332332).

The spelling of 112111020221121 in words is "one hundred twelve trillion, one hundred eleven billion, twenty million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 23 69 83 207 249 747 1909 5727 6131 17181 18393 55179 141013 423039 508873 1064311 1269117 1526619 3192933 4579857 9578799 11704079 24479153 35112237 73437459 88337813 105336711 220312377 265013439 795040317 2031769699 6095309097 6525290741 18285927291 19575872223 58727616669 150081687043 450245061129 541599131503 1350735183387 1624797394509 4874392183527 12456780024569 37370340073707 112111020221121