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21213343404 = 223211472275021
BaseRepresentation
bin10011110000011010…
…011110111010101100
32000202101122111111100
4103300122132322230
5321421103442104
613424551323100
71350454305141
oct236032367254
960671574440
1021213343404
118aa6419970
124140380490
132000b91706
1410534ca3c8
15842540139
hex4f069eeac

21213343404 has 144 divisors (see below), whose sum is σ = 60017158656. Its totient is φ = 6262550400.

The previous prime is 21213343367. The next prime is 21213343447. The reversal of 21213343404 is 40434331212.

21213343404 is a `hidden beast` number, since 2 + 1 + 213 + 3 + 43 + 404 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4222414 + ... + 4227434.

It is an arithmetic number, because the mean of its divisors is an integer number (416785824).

Almost surely, 221213343404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21213343404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30008579328).

21213343404 is an abundant number, since it is smaller than the sum of its proper divisors (38803815252).

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

21213343404 is a wasteful number, since it uses less digits than its factorization.

21213343404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5316 (or 5311 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 21213343404 its reverse (40434331212), we get a palindrome (61647674616).

The spelling of 21213343404 in words is "twenty-one billion, two hundred thirteen million, three hundred forty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 188 198 227 282 396 423 454 517 564 681 846 908 1034 1362 1551 1692 2043 2068 2497 2724 3102 4086 4653 4994 5021 6204 7491 8172 9306 9988 10042 10669 14982 15063 18612 20084 21338 22473 29964 30126 32007 42676 44946 45189 55231 60252 64014 89892 90378 96021 110462 117359 128028 165693 180756 192042 220924 234718 235987 331386 352077 384084 469436 471974 497079 662772 704154 707961 943948 994158 1056231 1139767 1408308 1415922 1988316 2112462 2123883 2279534 2595857 2831844 3419301 4224924 4247766 4559068 5191714 6838602 7787571 8495532 10257903 10383428 12537437 13677204 15575142 20515806 23362713 25074874 31150284 37612311 41031612 46725426 50149748 53569049 75224622 93450852 107138098 112836933 150449244 160707147 214276196 225673866 321414294 451347732 482121441 589259539 642828588 964242882 1178519078 1767778617 1928485764 2357038156 3535557234 5303335851 7071114468 10606671702 21213343404