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211211212220001 = 3272478936989161
BaseRepresentation
bin110000000001100001110001…
…010001101110011001100001
31000200211121001112100012201200
4300001201301101232121201
5210140441030312020001
62025113031423551413
762326335506662200
oct6001416121563141
91020747045305650
10211211212220001
1161331199040284
121b83219375b569
1390b11938a1bb6
143a2296a3d1237
15196414d1cc086
hexc0187146e661

211211212220001 has 18 divisors (see below), whose sum is σ = 354892308969042. Its totient is φ = 120692121268320.

The previous prime is 211211212219999. The next prime is 211211212220009. The reversal of 211211212220001 is 100022212112112.

211211212220001 is a `hidden beast` number, since 21 + 1 + 211 + 212 + 220 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 211136912363601 + 74299856400 = 14530551^2 + 272580^2 .

It is not a de Polignac number, because 211211212220001 - 21 = 211211212219999 is a prime.

It is a super-2 number, since 2×2112112122200012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211211212220009) 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 17 ways as a sum of consecutive naturals, for example, 239468494140 + ... + 239468495021.

It is an arithmetic number, because the mean of its divisors is an integer number (19716239387169).

Almost surely, 2211211212220001 is an apocalyptic number.

211211212220001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211211212220001 is a deficient number, since it is larger than the sum of its proper divisors (143681096749041).

211211212220001 is a wasteful number, since it uses less digits than its factorization.

211211212220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478936989181 (or 478936989171 counting only the distinct ones).

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

Adding to 211211212220001 its reverse (100022212112112), we get a palindrome (311233424332113).

The spelling of 211211212220001 in words is "two hundred eleven trillion, two hundred eleven billion, two hundred twelve million, two hundred twenty thousand, one".

Divisors: 1 3 7 9 21 49 63 147 441 478936989161 1436810967483 3352558924127 4310432902449 10057676772381 23467912468889 30173030317143 70403737406667 211211212220001