Search a number
-
+
21045040631811 = 3272435918810083
BaseRepresentation
bin1001100100011111011100…
…01010111101000000000011
32202111212221001210002120100
410302033232022331000003
510224300220400204221
6112431542545413443
74301311503565200
oct462175612750003
982455831702510
1021045040631811
116784173880289
12243a80563a283
13b98700a189b1
1452a82a4acca7
1526766a8b4926
hex1323ee2bd003

21045040631811 has 72 divisors (see below), whose sum is σ = 36797038724160. Its totient is φ = 11546982657504.

The previous prime is 21045040631773. The next prime is 21045040631863. The reversal of 21045040631811 is 11813604054012.

21045040631811 is a `hidden beast` number, since 2 + 1 + 0 + 4 + 5 + 0 + 4 + 0 + 631 + 8 + 11 = 666.

It is not a de Polignac number, because 21045040631811 - 213 = 21045040623619 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21045040631611) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8286225 + ... + 10523858.

It is an arithmetic number, because the mean of its divisors is an integer number (511069982280).

Almost surely, 221045040631811 is an apocalyptic number.

21045040631811 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21045040631811 is a deficient number, since it is larger than the sum of its proper divisors (15751998092349).

21045040631811 is a wasteful number, since it uses less digits than its factorization.

21045040631811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18810205 (or 18810195 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 21045040631811 its reverse (11813604054012), we get a palindrome (32858644685823).

The spelling of 21045040631811 in words is "twenty-one trillion, forty-five billion, forty million, six hundred thirty-one thousand, eight hundred eleven".

Divisors: 1 3 7 9 21 43 49 59 63 129 147 177 301 387 413 441 531 903 1239 2107 2537 2709 2891 3717 6321 7611 8673 17759 18963 22833 26019 53277 124313 159831 372939 1118817 18810083 56430249 131670581 169290747 395011743 808833569 921694067 1109794897 1185035229 2426500707 2765082201 3329384691 5661834983 7279502121 7768564279 8295246603 9988154073 16985504949 23305692837 39632844881 47721180571 50956514847 54379949953 69917078511 118898534643 143163541713 163139849859 334048263997 356695603929 429490625139 489419549577 1002144791991 2338337847979 3006434375973 7015013543937 21045040631811