Search a number
-
+
21211203321 = 33711384319
BaseRepresentation
bin10011110000010010…
…010100011011111001
32000202020121202212000
4103300102110123321
5321420032001241
613424433411213
71350430152630
oct236022243371
960666552760
1021211203321
118aa5198000
12413b709b09
1320005c25a9
1410530d0517
1584226aeb6
hex4f04946f9

21211203321 has 64 divisors (see below), whose sum is σ = 39502233600. Its totient is φ = 11018676240.

The previous prime is 21211203319. The next prime is 21211203329. The reversal of 21211203321 is 12330211212.

21211203321 is a `hidden beast` number, since 212 + 1 + 120 + 332 + 1 = 666.

It is not a de Polignac number, because 21211203321 - 21 = 21211203319 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21211203294 and 21211203303.

It is not an unprimeable number, because it can be changed into a prime (21211203329) 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 63 ways as a sum of consecutive naturals, for example, 209400 + ... + 293718.

It is an arithmetic number, because the mean of its divisors is an integer number (617222400).

Almost surely, 221211203321 is an apocalyptic number.

21211203321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21211203321 is a deficient number, since it is larger than the sum of its proper divisors (18291030279).

21211203321 is an equidigital number, since it uses as much as digits as its factorization.

21211203321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84368 (or 84340 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21211203321 its reverse (12330211212), we get a palindrome (33541414533).

The spelling of 21211203321 in words is "twenty-one billion, two hundred eleven million, two hundred three thousand, three hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 121 189 231 297 363 693 847 1089 1331 2079 2541 3267 3993 7623 9317 11979 22869 27951 35937 83853 84319 251559 252957 590233 758871 927509 1770699 2276613 2782527 5312097 6492563 8347581 10202599 15936291 19477689 25042743 30607797 58433067 71418193 91823391 112228589 175299201 214254579 275470173 336685767 642763737 785600123 1010057301 1928291211 2356800369 3030171903 7070401107 21211203321