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21221312311132 = 22714011019182867
BaseRepresentation
bin1001101001100111110001…
…10010000010111101011100
32210010201220202001012022221
410310303320302002331130
510240142221422424012
6113044534123315124
74320121621255543
oct464637062027534
983121822035287
1021221312311132
1168419a96199aa
1224689ba67baa4
13bac213101b1b
1453518d07515a
1526c035b10507
hex134cf8c82f5c

21221312311132 has 48 divisors (see below), whose sum is σ = 37791530138880. Its totient is φ = 10424824928000.

The previous prime is 21221312311127. The next prime is 21221312311141. The reversal of 21221312311132 is 23111321312212.

It is a super-2 number, since 2×212213123111322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21221312311097 and 21221312311106.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 115956363 + ... + 116139229.

It is an arithmetic number, because the mean of its divisors is an integer number (787323544560).

Almost surely, 221221312311132 is an apocalyptic number.

It is an amenable number.

21221312311132 is a deficient number, since it is larger than the sum of its proper divisors (16570217827748).

21221312311132 is a wasteful number, since it uses less digits than its factorization.

21221312311132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184362 (or 184360 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

Adding to 21221312311132 its reverse (23111321312212), we get a palindrome (44332633623344).

The spelling of 21221312311132 in words is "twenty-one trillion, two hundred twenty-one billion, three hundred twelve million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 4 71 142 284 401 802 1019 1604 2038 4076 28471 56942 72349 113884 144698 182867 289396 365734 408619 731468 817238 1634476 12983557 25967114 29011949 51934228 58023898 73329667 116047796 146659334 186341473 293318668 372682946 745365892 5206406357 10412812714 13230244583 20825625428 26460489166 52920978332 74722930673 149445861346 298891722692 5305328077783 10610656155566 21221312311132