Search a number
-
+
211002112122201 = 33431311387341211
BaseRepresentation
bin101111111110011111000001…
…111100001001110101011001
31000200002121022222121122212000
4233332133001330021311121
5210124024311200402301
62024433010535111213
762305254016323621
oct5776370174116531
91020077288548760
10211002112122201
116126054752a9a4
121b7b9758512509
13909754c15658a
143a167b18bd881
15195d9b0da7786
hexbfe7c1f09d59

211002112122201 has 32 divisors (see below), whose sum is σ = 322307110371840. Its totient is φ = 136347894118800.

The previous prime is 211002112122181. The next prime is 211002112122227. The reversal of 211002112122201 is 102221211200112.

211002112122201 is a `hidden beast` number, since 21 + 1 + 0 + 0 + 211 + 212 + 220 + 1 = 666.

It is not a de Polignac number, because 211002112122201 - 225 = 211002078567769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211002112122251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 693518515 + ... + 693822696.

It is an arithmetic number, because the mean of its divisors is an integer number (10072097199120).

Almost surely, 2211002112122201 is an apocalyptic number.

It is an amenable number.

211002112122201 is a deficient number, since it is larger than the sum of its proper divisors (111304998249639).

211002112122201 is a wasteful number, since it uses less digits than its factorization.

211002112122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387341394 (or 1387341388 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211002112122201 its reverse (102221211200112), we get a palindrome (313223323322313).

The spelling of 211002112122201 in words is "two hundred eleven trillion, two billion, one hundred twelve million, one hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 27 43 129 131 387 393 1161 1179 3537 5633 16899 50697 152091 1387341211 4162023633 12486070899 37458212697 59655672073 178967016219 181741698641 536901048657 545225095923 1610703145971 1635675287769 4907025863307 7814893041563 23444679124689 70334037374067 211002112122201