Search a number
-
+
2211312001231 = 17312405133413
BaseRepresentation
bin100000001011011100011…
…101110110000011001111
321211101210010122201221001
4200023130131312003033
5242212231333014411
64411510202321131
7315522241610344
oct40133435660317
97741703581831
102211312001231
117828a2a80a33
122b8697ab91a7
131306ab31b3a8
147905705a7cb
153c7c45c0dc1
hex202dc7760cf

2211312001231 has 24 divisors (see below), whose sum is σ = 2420023919472. Its totient is φ = 2013540768000.

The previous prime is 2211312001183. The next prime is 2211312001247. The reversal of 2211312001231 is 1321002131122.

2211312001231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2211312001231 - 29 = 2211312000719 is a prime.

It is a super-2 number, since 2×22113120012312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2211312001199 and 2211312001208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211312001271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66164481 + ... + 66197893.

It is an arithmetic number, because the mean of its divisors is an integer number (100834329978).

Almost surely, 22211312001231 is an apocalyptic number.

2211312001231 is a deficient number, since it is larger than the sum of its proper divisors (208711918241).

2211312001231 is a wasteful number, since it uses less digits than its factorization.

2211312001231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37543 (or 37512 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 2211312001231 its reverse (1321002131122), we get a palindrome (3532314132353).

The spelling of 2211312001231 in words is "two trillion, two hundred eleven billion, three hundred twelve million, one thousand, two hundred thirty-one".

Divisors: 1 17 31 527 961 4051 16337 33413 68867 125581 568021 1035803 2134877 3893011 17608651 32109893 66181187 135356063 545868181 2301053071 4196037953 71332645201 130077176543 2211312001231