Search a number
-
+
21114241020 = 22325117301339
BaseRepresentation
bin10011101010100000…
…011011111111111100
32000111111011120120200
4103222200123333330
5321220221203040
613411051243500
71345142041665
oct235240337774
960444146520
1021114241020
118a55490874
124113149590
131cb64a3652
14104429036c
158389b6630
hex4ea81bffc

21114241020 has 36 divisors (see below), whose sum is σ = 64046531640. Its totient is φ = 5630464224.

The previous prime is 21114240989. The next prime is 21114241021. The reversal of 21114241020 is 2014241112.

21114241020 is a `hidden beast` number, since 211 + 1 + 42 + 410 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×211142410202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21114240984 and 21114241002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21114241021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58650490 + ... + 58650849.

Almost surely, 221114241020 is an apocalyptic number.

21114241020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21114241020 is an abundant number, since it is smaller than the sum of its proper divisors (42932290620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21114241020 is a wasteful number, since it uses less digits than its factorization.

21114241020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117301354 (or 117301349 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21114241020 its reverse (2014241112), we get a palindrome (23128482132).

The spelling of 21114241020 in words is "twenty-one billion, one hundred fourteen million, two hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 117301339 234602678 351904017 469205356 586506695 703808034 1055712051 1173013390 1407616068 1759520085 2111424102 2346026780 3519040170 4222848204 5278560255 7038080340 10557120510 21114241020