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11211220219984 = 2417109378144233
BaseRepresentation
bin1010001100100101000011…
…0011000111100001010000
31110200210010012202121001221
42203021100303013201100
52432141034334014414
635502210301534424
72234661326344051
oct243112063074120
943623105677057
1011211220219984
1136327195a1494
121310986b74414
136342a1184445
142aa8a9890728
15146969bbd224
hexa3250cc7850

11211220219984 has 40 divisors (see below), whose sum is σ = 23210493082920. Its totient is φ = 5227465863168.

The previous prime is 11211220219939. The next prime is 11211220219987. The reversal of 11211220219984 is 48991202211211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6931783277584 + 4279436942400 = 2632828^2 + 2068680^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11211220219984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211220219987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189042469 + ... + 189101764.

It is an arithmetic number, because the mean of its divisors is an integer number (580262327073).

Almost surely, 211211220219984 is an apocalyptic number.

It is an amenable number.

11211220219984 is an abundant number, since it is smaller than the sum of its proper divisors (11999272862936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11211220219984 is a wasteful number, since it uses less digits than its factorization.

11211220219984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378144367 (or 378144361 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 43.

The spelling of 11211220219984 in words is "eleven trillion, two hundred eleven billion, two hundred twenty million, two hundred nineteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 17 34 68 109 136 218 272 436 872 1744 1853 3706 7412 14824 29648 378144233 756288466 1512576932 3025153864 6050307728 6428451961 12856903922 25713807844 41217721397 51427615688 82435442794 102855231376 164870885588 329741771176 659483542352 700701263749 1401402527498 2802805054996 5605610109992 11211220219984