Search a number
-
+
21113138160 = 243359774601
BaseRepresentation
bin10011101010011100…
…001110101111110000
32000111102002112202000
4103222130032233300
5321214430410120
613411011454000
71345126466442
oct235234165760
960442075660
1021113138160
118a548a8214
1241128b7300
131cb61a867a
141044084492
15838849990
hex4ea70ebf0

21113138160 has 80 divisors (see below), whose sum is σ = 72723038880. Its totient is φ = 5630169600.

The previous prime is 21113138131. The next prime is 21113138161. The reversal of 21113138160 is 6183131112.

21113138160 is a `hidden beast` number, since 211 + 1 + 313 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21113138161) 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 15 ways as a sum of consecutive naturals, for example, 4885141 + ... + 4889460.

It is an arithmetic number, because the mean of its divisors is an integer number (909037986).

Almost surely, 221113138160 is an apocalyptic number.

21113138160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21113138160 is an abundant number, since it is smaller than the sum of its proper divisors (51609900720).

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

21113138160 is a wasteful number, since it uses less digits than its factorization.

21113138160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9774623 (or 9774611 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 21113138160 its reverse (6183131112), we get a palindrome (27296269272).

The spelling of 21113138160 in words is "twenty-one billion, one hundred thirteen million, one hundred thirty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 9774601 19549202 29323803 39098404 48873005 58647606 78196808 87971409 97746010 117295212 146619015 156393616 175942818 195492020 234590424 263914227 293238030 351885636 390984040 439857045 469180848 527828454 586476060 703771272 781968080 879714090 1055656908 1172952120 1319571135 1407542544 1759428180 2111313816 2345904240 2639142270 3518856360 4222627632 5278284540 7037712720 10556569080 21113138160