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21001120221220 = 2254125611122221
BaseRepresentation
bin1001100011001101101000…
…10011111000100000100100
32202100200120011210001202121
410301212310103320200210
510223040243234034340
6112355440442515324
74265165223343666
oct461466423704044
982320504701677
1021001120221220
116767585959797
1224321a8805b44
13b94521690269
14528661388536
15266449b2994a
hex1319b44f8824

21001120221220 has 24 divisors (see below), whose sum is σ = 45178019599608. Its totient is φ = 8195559110400.

The previous prime is 21001120221181. The next prime is 21001120221227. The reversal of 21001120221220 is 2212202110012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2010542500096 + 18990577721124 = 1417936^2 + 4357818^2 .

It is a super-2 number, since 2×210011202212202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21001120221194 and 21001120221203.

It is not an unprimeable number, because it can be changed into a prime (21001120221227) 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 7 ways as a sum of consecutive naturals, for example, 12805560291 + ... + 12805561930.

It is an arithmetic number, because the mean of its divisors is an integer number (1882417483317).

Almost surely, 221001120221220 is an apocalyptic number.

21001120221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21001120221220 is an abundant number, since it is smaller than the sum of its proper divisors (24176899378388).

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

21001120221220 is a wasteful number, since it uses less digits than its factorization.

21001120221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25611122271 (or 25611122269 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21001120221220 its reverse (2212202110012), we get a palindrome (23213322331232).

The spelling of 21001120221220 in words is "twenty-one trillion, one billion, one hundred twenty million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 25611122221 51222244442 102444488884 128055611105 256111222210 512222444420 1050056011061 2100112022122 4200224044244 5250280055305 10500560110610 21001120221220