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21116144025 = 3252769122041
BaseRepresentation
bin10011101010100111…
…101100100110011001
32000111121202021000100
4103222213230212121
5321221213102100
613411200130013
71345164156054
oct235247544631
960447667010
1021116144025
118a565705a9
124113906909
131cb69bb8a2
141044627a9b
15838c40400
hex4ea9ec999

21116144025 has 36 divisors (see below), whose sum is σ = 37870853020. Its totient is φ = 11247206400.

The previous prime is 21116144011. The next prime is 21116144029. The reversal of 21116144025 is 52044161112.

21116144025 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 614 + 40 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2374807824 + 18741336201 = 48732^2 + 136899^2 .

It is not a de Polignac number, because 21116144025 - 210 = 21116143001 is a prime.

It is a super-3 number, since 3×211161440253 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21116144025.

It is not an unprimeable number, because it can be changed into a prime (21116144029) 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 35 ways as a sum of consecutive naturals, for example, 112005 + ... + 234045.

Almost surely, 221116144025 is an apocalyptic number.

21116144025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21116144025 is a deficient number, since it is larger than the sum of its proper divisors (16754708995).

21116144025 is a wasteful number, since it uses less digits than its factorization.

21116144025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122826 (or 122818 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 21116144025 in words is "twenty-one billion, one hundred sixteen million, one hundred forty-four thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 769 2307 3845 6921 11535 19225 34605 57675 122041 173025 366123 610205 1098369 1830615 3051025 5491845 9153075 27459225 93849529 281548587 469247645 844645761 1407742935 2346238225 4223228805 7038714675 21116144025