Search a number
-
+
21201221212020 = 2233546384798101
BaseRepresentation
bin1001101001000010010110…
…10000100101011101110100
32210001211001120002121121000
410310201023100211131310
510234330100112241040
6113031412341323300
74315511011610553
oct464411320453564
983054046077530
1021201221212020
116834429728863
122464b32106530
13baa3608abbb5
14534204a37d9a
1526b75bd9c130
hex13484b425774

21201221212020 has 96 divisors (see below), whose sum is σ = 66101816471040. Its totient is φ = 5641447996800.

The previous prime is 21201221212001. The next prime is 21201221212091. The reversal of 21201221212020 is 2021212210212.

It is a happy number.

21201221212020 is a `hidden beast` number, since 21 + 201 + 221 + 21 + 202 + 0 = 666.

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 = 21201221211984 and 21201221212002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42149031 + ... + 42649070.

It is an arithmetic number, because the mean of its divisors is an integer number (688560588240).

Almost surely, 221201221212020 is an apocalyptic number.

21201221212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21201221212020 is an abundant number, since it is smaller than the sum of its proper divisors (44900595259020).

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

21201221212020 is a wasteful number, since it uses less digits than its factorization.

21201221212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84798582 (or 84798574 counting only the distinct ones).

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

Adding to 21201221212020 its reverse (2021212210212), we get a palindrome (23222433422232).

The spelling of 21201221212020 in words is "twenty-one trillion, two hundred one billion, two hundred twenty-one million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 463 540 926 1389 1852 2315 2778 4167 4630 5556 6945 8334 9260 12501 13890 16668 20835 25002 27780 41670 50004 62505 83340 125010 250020 84798101 169596202 254394303 339192404 423990505 508788606 763182909 847981010 1017577212 1271971515 1526365818 1695962020 2289548727 2543943030 3052731636 3815914545 4579097454 5087886060 7631829090 9158194908 11447743635 15263658180 22895487270 39261520763 45790974540 78523041526 117784562289 157046083052 196307603815 235569124578 353353686867 392615207630 471138249156 588922811445 706707373734 785230415260 1060061060601 1177845622890 1413414747468 1766768434335 2120122121202 2355691245780 3533536868670 4240244242404 5300305303005 7067073737340 10600610606010 21201221212020