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2122102001211 = 317259237117497
BaseRepresentation
bin11110111000010111001…
…000101100111000111011
321111212111221022012001020
4132320113020230320323
5234232031103014321
64302514042353523
7306213444250623
oct36702710547073
97455457265036
102122102001211
11748a84290595
122a333b7bb8a3
1312516208a42a
14749d3043883
153a3027934c6
hex1ee1722ce3b

2122102001211 has 48 divisors (see below), whose sum is σ = 3058107262080. Its totient is φ = 1308320087040.

The previous prime is 2122102001207. The next prime is 2122102001221. The reversal of 2122102001211 is 1121002012212.

It is not a de Polignac number, because 2122102001211 - 22 = 2122102001207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2122102001221) 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 47 ways as a sum of consecutive naturals, for example, 121275015 + ... + 121292511.

It is an arithmetic number, because the mean of its divisors is an integer number (63710567960).

Almost surely, 22122102001211 is an apocalyptic number.

2122102001211 is a deficient number, since it is larger than the sum of its proper divisors (936005260869).

2122102001211 is a wasteful number, since it uses less digits than its factorization.

2122102001211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19964 (or 19947 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2122102001211 its reverse (1121002012212), we get a palindrome (3243104013423).

The spelling of 2122102001211 in words is "two trillion, one hundred twenty-two billion, one hundred two million, one thousand, two hundred eleven".

Divisors: 1 3 17 51 59 177 289 867 1003 2371 3009 7113 17051 17497 40307 51153 52491 120921 139889 297449 419667 685219 892347 1032323 2055657 2378113 3096969 5056633 7134339 15169899 17549491 40427921 41485387 52648473 121283763 124456161 298341347 705251579 895024041 2115754737 2447637833 7342913499 11989276843 35967830529 41609843161 124829529483 707367333737 2122102001211