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11213311331211 = 3112814612623087
BaseRepresentation
bin1010001100101100110101…
…1100000100101110001011
31110200222111221120001101220
42203023031130010232023
52432204330200044321
635503154001413123
72235064210450203
oct243131534045613
943628457501356
1011213311331211
1136335a1a09290
12131126b33a1a3
1363454547c472
142aaa274a5403
15146a3d57b9c6
hexa32cd704b8b

11213311331211 has 32 divisors (see below), whose sum is σ = 16403827055616. Its totient is φ = 6757069536000.

The previous prime is 11213311331099. The next prime is 11213311331239.

11213311331211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11213311331211 - 227 = 11213177113483 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11213311331251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2963310 + ... + 5586396.

It is an arithmetic number, because the mean of its divisors is an integer number (512619595488).

Almost surely, 211213311331211 is an apocalyptic number.

11213311331211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11213311331211 is a deficient number, since it is larger than the sum of its proper divisors (5190515724405).

11213311331211 is a wasteful number, since it uses less digits than its factorization.

11213311331211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623843.

The product of its digits is 324, while the sum is 24.

It can be divided in two parts, 1121331 and 1331211, that added together give a palindrome (2452542).

The spelling of 11213311331211 in words is "eleven trillion, two hundred thirteen billion, three hundred eleven million, three hundred thirty-one thousand, two hundred eleven".

Divisors: 1 3 11 33 281 461 843 1383 3091 5071 9273 15213 129541 388623 1424951 2623087 4274853 7869261 28853957 86561871 737087447 1209243107 2211262341 3627729321 8107961917 13301674177 24323885751 39905022531 339797313067 1019391939201 3737770443737 11213311331211