Search a number
-
+
211211022212001 = 32773259691768471
BaseRepresentation
bin110000000001100001100101…
…111100111001101110100001
31000200211120120021210210202100
4300001201211330321232201
5210140440133141241001
62025113000515241013
762326331011642050
oct6001414574715641
91020746507723670
10211211022212001
1161331100862479
121b83213bba9169
1390b1163405926
143a2294d090397
15196413b698586
hexc01865f39ba1

211211022212001 has 48 divisors (see below), whose sum is σ = 353455868496640. Its totient is φ = 119034046264320.

The previous prime is 211211022211979. The next prime is 211211022212051. The reversal of 211211022212001 is 100212220112112.

211211022212001 is a `hidden beast` number, since 21 + 121 + 102 + 221 + 200 + 1 = 666.

It is not a de Polignac number, because 211211022212001 - 210 = 211211022210977 is a prime.

It is a super-2 number, since 2×2112110222120012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211211022212051) 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, 118547196 + ... + 120315666.

Almost surely, 2211211022212001 is an apocalyptic number.

211211022212001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211211022212001 is a deficient number, since it is larger than the sum of its proper divisors (142244846284639).

211211022212001 is a wasteful number, since it uses less digits than its factorization.

211211022212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794526 (or 1794523 counting only the distinct ones).

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

Adding to 211211022212001 its reverse (100212220112112), we get a palindrome (311423242324113).

The spelling of 211211022212001 in words is "two hundred eleven trillion, two hundred eleven billion, twenty-two million, two hundred twelve thousand, one".

Divisors: 1 3 7 9 21 63 73 219 511 657 1533 4599 25969 77907 181783 233721 545349 1636047 1768471 1895737 5305413 5687211 12379297 13270159 15916239 17061633 37137891 39810477 111413673 119431431 129098383 387295149 903688681 1161885447 2711066043 8133198129 45925423399 137776270197 321477963793 413328810591 964433891379 2893301674137 3352555908127 10057667724381 23467891356889 30173003173143 70403674070667 211211022212001