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220220021011120 = 245133137971979661
BaseRepresentation
bin110010000100100111111000…
…000111111111001010110000
31001212201211100220102222210221
4302010213320013333022300
5212331041100334323440
62100211403033302424
764246241262150304
oct6204477007771260
91055654326388727
10220220021011120
1164194871811569
1220848147564a14
1395b5874715110
143c549c4d57d04
151a6d664db5d4a
hexc849f81ff2b0

220220021011120 has 640 divisors, whose sum is σ = 593653255759872. Its totient is φ = 75380568883200.

The previous prime is 220220021011117. The next prime is 220220021011121. The reversal of 220220021011120 is 21110120022022.

It is a happy number.

220220021011120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 220220021011094 and 220220021011103.

It is not an unprimeable number, because it can be changed into a prime (220220021011121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22794739090 + ... + 22794748750.

Almost surely, 2220220021011120 is an apocalyptic number.

220220021011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220220021011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296826627879936).

220220021011120 is an abundant number, since it is smaller than the sum of its proper divisors (373433234748752).

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

220220021011120 is a wasteful number, since it uses less digits than its factorization.

220220021011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10049 (or 10043 counting only the distinct ones).

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

Adding to 220220021011120 its reverse (21110120022022), we get a palindrome (241330141033142).

The spelling of 220220021011120 in words is "two hundred twenty trillion, two hundred twenty billion, twenty-one million, eleven thousand, one hundred twenty".