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21032021331 = 3331223281401
BaseRepresentation
bin10011100101100110…
…110010110101010011
32000021202110101101000
4103211212302311103
5321033144140311
613354553113043
71343123142306
oct234546626523
960252411330
1021032021331
118a13033a12
1240ab6b8783
131ca2446b49
1410373aab3d
15831675056
hex4e59b2d53

21032021331 has 64 divisors (see below), whose sum is σ = 32503726080. Its totient is φ = 13426560000.

The previous prime is 21032021317. The next prime is 21032021347. The reversal of 21032021331 is 13312023012.

21032021331 is a `hidden beast` number, since 2 + 10 + 320 + 2 + 1 + 331 = 666.

It is not a de Polignac number, because 21032021331 - 214 = 21032004947 is a prime.

It is a super-2 number, since 2×210320213312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21032021531) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 52448731 + ... + 52449131.

It is an arithmetic number, because the mean of its divisors is an integer number (507870720).

Almost surely, 221032021331 is an apocalyptic number.

21032021331 is a deficient number, since it is larger than the sum of its proper divisors (11471704749).

21032021331 is a wasteful number, since it uses less digits than its factorization.

21032021331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21032021331 its reverse (13312023012), we get a palindrome (34344044343).

The spelling of 21032021331 in words is "twenty-one billion, thirty-two million, twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 31 93 223 279 281 401 669 837 843 1203 2007 2529 3609 6021 6913 7587 8711 10827 12431 20739 26133 37293 62217 62663 78399 89423 111879 112681 186651 187989 235197 268269 335637 338043 563967 804807 1014129 1691901 1942553 2414421 2772113 3042387 3493111 5827659 8316339 10479333 17482977 24949017 25127863 31437999 52448931 74847051 75383589 94313997 226150767 678452301 778963753 2336891259 7010673777 21032021331