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211131121323 = 33122397101363
BaseRepresentation
bin1100010010100001100…
…1010011111010101011
3202011222002110020101010
43010220121103322223
511424344031340243
6240554200355003
721153011630523
oct3045031237253
9664862406333
10211131121323
11815a4017421
1234b03475a63
1316ba94657b5
14a30c564683
15575a7b4433
hex3128653eab

211131121323 has 16 divisors (see below), whose sum is σ = 290604911616. Its totient is φ = 136206201120.

The previous prime is 211131121249. The next prime is 211131121337. The reversal of 211131121323 is 323121131112.

211131121323 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 211131121323 - 212 = 211131117227 is a prime.

It is a super-2 number, since 2×2111311213232 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211131121323.

It is not an unprimeable number, because it can be changed into a prime (211131121373) 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 15 ways as a sum of consecutive naturals, for example, 2032240 + ... + 2133602.

It is an arithmetic number, because the mean of its divisors is an integer number (18162806976).

Almost surely, 2211131121323 is an apocalyptic number.

211131121323 is a deficient number, since it is larger than the sum of its proper divisors (79473790293).

211131121323 is a wasteful number, since it uses less digits than its factorization.

211131121323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123794.

The product of its digits is 216, while the sum is 21.

Adding to 211131121323 its reverse (323121131112), we get a palindrome (534252252435).

The spelling of 211131121323 in words is "two hundred eleven billion, one hundred thirty-one million, one hundred twenty-one thousand, three hundred twenty-three".

Divisors: 1 3 31 93 22397 67191 101363 304089 694307 2082921 3142253 9426759 2270227111 6810681333 70377040441 211131121323