Search a number
-
+
21012506541 = 341319954897
BaseRepresentation
bin10011100100011100…
…010110011110101101
32000020101201221010000
4103210130112132231
5321013200202131
613353014534513
71342465234005
oct234434263655
960211657100
1021012506541
118a03015194
1240a5067439
131c9b3a3530
14103496b005
1582eabcce6
hex4e47167ad

21012506541 has 20 divisors (see below), whose sum is σ = 33803597212. Its totient is φ = 12930772608.

The previous prime is 21012506513. The next prime is 21012506551. The reversal of 21012506541 is 14560521012.

21012506541 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 2 + 5 + 0 + 654 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5600277225 + 15412229316 = 74835^2 + 124146^2 .

It is not a de Polignac number, because 21012506541 - 26 = 21012506477 is a prime.

It is a super-2 number, since 2×210125065412 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21012506551) 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 19 ways as a sum of consecutive naturals, for example, 9976396 + ... + 9978501.

Almost surely, 221012506541 is an apocalyptic number.

It is an amenable number.

21012506541 is a deficient number, since it is larger than the sum of its proper divisors (12791090671).

21012506541 is a wasteful number, since it uses less digits than its factorization.

21012506541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19954922 (or 19954913 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 21012506541 in words is "twenty-one billion, twelve million, five hundred six thousand, five hundred forty-one".

Divisors: 1 3 9 13 27 39 81 117 351 1053 19954897 59864691 179594073 259413661 538782219 778240983 1616346657 2334722949 7004168847 21012506541