Search a number
-
+
2122211022201 = 323141299184181
BaseRepresentation
bin11110111000011101101…
…000100101010101111001
321111212210112110000201200
4132320131220211111321
5234232242010202301
64302532535204413
7306216240024234
oct36703550452571
97455715400650
102122211022201
1174902a883686
122a3370216709
1312517b83bcaa
1474a0370241b
153a30c12ac86
hex1ee1da25579

2122211022201 has 24 divisors (see below), whose sum is σ = 3164394105600. Its totient is φ = 1369127815200.

The previous prime is 2122211022193. The next prime is 2122211022233. The reversal of 2122211022201 is 1022201122212.

It is a happy number.

2122211022201 is a `hidden beast` number, since 212 + 221 + 10 + 2 + 220 + 1 = 666.

It is not a de Polignac number, because 2122211022201 - 23 = 2122211022193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2122211022271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11430331 + ... + 11614511.

It is an arithmetic number, because the mean of its divisors is an integer number (131849754400).

Almost surely, 22122211022201 is an apocalyptic number.

It is an amenable number.

2122211022201 is a deficient number, since it is larger than the sum of its proper divisors (1042183083399).

2122211022201 is a wasteful number, since it uses less digits than its factorization.

2122211022201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225517 (or 225514 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2122211022201 its reverse (1022201122212), we get a palindrome (3144412144413).

The spelling of 2122211022201 in words is "two trillion, one hundred twenty-two billion, two hundred eleven million, twenty-two thousand, two hundred one".

Divisors: 1 3 9 31 93 279 41299 123897 184181 371691 552543 1280269 1657629 3840807 5709611 11522421 17128833 51386499 7606491119 22819473357 68458420071 235801224689 707403674067 2122211022201