Search a number
-
+
21121221112220 = 2256748915647899
BaseRepresentation
bin1001100110101101010101…
…11000011011000110011100
32202210011120012210110200202
410303112222320123012130
510232022230101042340
6112530542141443032
74306646356152155
oct463265270330634
982704505713622
1021121221112220
1168035067637a9
122451526270478
13ba2951740838
145303b5c7492c
152696288adc15
hex1335aae1b19c

21121221112220 has 24 divisors (see below), whose sum is σ = 44355224382000. Its totient is φ = 8448362721792.

The previous prime is 21121221112181. The next prime is 21121221112231. The reversal of 21121221112220 is 2221112212112.

It is a super-2 number, since 2×211212211122202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21121221112192 and 21121221112201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6474170 + ... + 9173729.

It is an arithmetic number, because the mean of its divisors is an integer number (1848134349250).

Almost surely, 221121221112220 is an apocalyptic number.

21121221112220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121221112220 is an abundant number, since it is smaller than the sum of its proper divisors (23234003269780).

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

21121221112220 is a wasteful number, since it uses less digits than its factorization.

21121221112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15715397 (or 15715395 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 21121221112220 its reverse (2221112212112), we get a palindrome (23342333324332).

The spelling of 21121221112220 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 67489 134978 269956 337445 674890 1349780 15647899 31295798 62591596 78239495 156478990 312957980 1056061055611 2112122111222 4224244222444 5280305278055 10560610556110 21121221112220