Search a number
-
+
21213132512 = 25111329159853
BaseRepresentation
bin10011110000011001…
…101011011011100000
32000202101020210012112
4103300121223123200
5321421030220022
613424543014452
71350452436245
oct236031533340
960671223175
1021213132512
118aa6295480
12414029a428
132000b19720
1410534735cc
158424ec8e2
hex4f066b6e0

21213132512 has 96 divisors (see below), whose sum is σ = 50756842080. Its totient is φ = 8593643520.

The previous prime is 21213132497. The next prime is 21213132539. The reversal of 21213132512 is 21523131212.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 52778 + ... + 212630.

It is an arithmetic number, because the mean of its divisors is an integer number (528717105).

Almost surely, 221213132512 is an apocalyptic number.

21213132512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21213132512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25378421040).

21213132512 is an abundant number, since it is smaller than the sum of its proper divisors (29543709568).

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

21213132512 is a wasteful number, since it uses less digits than its factorization.

21213132512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159916 (or 159908 counting only the distinct ones).

The product of its digits is 720, while the sum is 23.

Adding to 21213132512 its reverse (21523131212), we get a palindrome (42736263724).

The spelling of 21213132512 in words is "twenty-one billion, two hundred thirteen million, one hundred thirty-two thousand, five hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 29 32 44 52 58 88 104 116 143 176 208 232 286 319 352 377 416 464 572 638 754 928 1144 1276 1508 2288 2552 3016 4147 4576 5104 6032 8294 10208 12064 16588 33176 66352 132704 159853 319706 639412 1278824 1758383 2078089 2557648 3516766 4156178 4635737 5115296 7033532 8312356 9271474 14067064 16624712 18542948 22858979 28134128 33249424 37085896 45717958 50993107 56268256 60264581 66498848 74171792 91435916 101986214 120529162 148343584 182871832 203972428 241058324 365743664 407944856 482116648 662910391 731487328 815889712 964233296 1325820782 1631779424 1928466592 2651641564 5303283128 10606566256 21213132512