Search a number
-
+
21421041120 = 2532514875723
BaseRepresentation
bin10011111100110010…
…110010010111100000
32001021212110122012100
4103330302302113200
5322332241303440
613501331130400
71355555562633
oct237462622740
961255418170
1021421041120
1190a268a276
124199a43a00
132034c1267b
141072d13c1a
158558ba230
hex4fccb25e0

21421041120 has 72 divisors (see below), whose sum is σ = 73099307736. Its totient is φ = 5712277248.

The previous prime is 21421041091. The next prime is 21421041127. The reversal of 21421041120 is 2114012412.

21421041120 is a `hidden beast` number, since 21 + 4 + 210 + 411 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×214210411202 (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 = 21421041093 and 21421041102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21421041127) 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, 7436422 + ... + 7439301.

It is an arithmetic number, because the mean of its divisors is an integer number (1015268163).

Almost surely, 221421041120 is an apocalyptic number.

21421041120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21421041120 is an abundant number, since it is smaller than the sum of its proper divisors (51678266616).

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

21421041120 is a wasteful number, since it uses less digits than its factorization.

21421041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14875744 (or 14875733 counting only the distinct ones).

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

Adding to 21421041120 its reverse (2114012412), we get a palindrome (23535053532).

The spelling of 21421041120 in words is "twenty-one billion, four hundred twenty-one million, forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 14875723 29751446 44627169 59502892 74378615 89254338 119005784 133881507 148757230 178508676 223135845 238011568 267763014 297514460 357017352 446271690 476023136 535526028 595028920 669407535 714034704 892543380 1071052056 1190057840 1338815070 1428069408 1785086760 2142104112 2380115680 2677630140 3570173520 4284208224 5355260280 7140347040 10710520560 21421041120