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20211121110111 = 32412251521887
BaseRepresentation
bin1001001100001110001001…
…01100011011110001011111
32122120011102210002010020020
410212013010230123301133
510122114334001010421
6110552505540123223
74154130264605301
oct446070454336137
978504383063206
1020211121110111
116492540a66928
122325073696513
13b37b92652829
144dc31b337971
15250b0e81ddc6
hex1261c4b1bc5f

20211121110111 has 48 divisors (see below), whose sum is σ = 27251088609024. Its totient is φ = 13324022400000.

The previous prime is 20211121110109. The next prime is 20211121110113. The reversal of 20211121110111 is 11101112111202.

It is an interprime number because it is at equal distance from previous prime (20211121110109) and next prime (20211121110113).

It is not a de Polignac number, because 20211121110111 - 21 = 20211121110109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20211121110113) 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, 22785930910 + ... + 22785931796.

It is an arithmetic number, because the mean of its divisors is an integer number (567731012688).

Almost surely, 220211121110111 is an apocalyptic number.

20211121110111 is a deficient number, since it is larger than the sum of its proper divisors (7039967498913).

20211121110111 is an equidigital number, since it uses as much as digits as its factorization.

20211121110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 20211121110111 its reverse (11101112111202), we get a palindrome (31312233221313).

The spelling of 20211121110111 in words is "twenty trillion, two hundred eleven billion, one hundred twenty-one million, one hundred ten thousand, one hundred eleven".

Divisors: 1 3 241 251 521 723 753 887 1563 2661 58081 60491 125561 130771 174243 181473 213767 222637 376683 392313 462127 641301 667911 1386381 14578331 30260201 31515811 43734993 51517847 53655517 90780603 94547433 111372607 115993877 154553541 160966551 334117821 347981631 7595310451 12930979597 22785931353 26840798287 27954524357 38792938791 80522394861 83863573071 6737040370037 20211121110111