Search a number
-
+
21120333231 = 3176123329137
BaseRepresentation
bin10011101010110111…
…101011010110101111
32000111220122002112010
4103222313223112233
5321223301130411
613411430012303
71345244604354
oct235267532657
960456562463
1021120333231
118a58971a58
1241151a7093
131cb78275ca
141044dd862b
158392bb7a6
hex4eadeb5af

21120333231 has 32 divisors (see below), whose sum is σ = 30436855488. Its totient is φ = 12978339840.

The previous prime is 21120333203. The next prime is 21120333277. The reversal of 21120333231 is 13233302112.

It is not a de Polignac number, because 21120333231 - 215 = 21120300463 is a prime.

It is a super-2 number, since 2×211203332312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21120333198 and 21120333207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21120333431) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 710295 + ... + 739431.

It is an arithmetic number, because the mean of its divisors is an integer number (951151734).

Almost surely, 221120333231 is an apocalyptic number.

21120333231 is a deficient number, since it is larger than the sum of its proper divisors (9316522257).

21120333231 is a wasteful number, since it uses less digits than its factorization.

21120333231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29451.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 21120333231 its reverse (13233302112), we get a palindrome (34353635343).

The spelling of 21120333231 in words is "twenty-one billion, one hundred twenty million, three hundred thirty-three thousand, two hundred thirty-one".

Divisors: 1 3 17 51 61 183 233 699 1037 3111 3961 11883 14213 29137 42639 87411 241621 495329 724863 1485987 1777357 5332071 6788921 20366763 30215069 90645207 115411657 346234971 414124181 1242372543 7040111077 21120333231