Search a number
-
+
12200221101020 = 225610011055051
BaseRepresentation
bin1011000110001001010111…
…0110000100101111011100
31121012022220101101212212112
42301202111312010233130
53044342023100213040
641540412035053152
72366302565206631
oct261422566045734
947168811355775
1012200221101020
1139840a2830517
1214505994411b8
136a6625773664
143026cb1b6188
151625509bb365
hexb1895d84bdc

12200221101020 has 12 divisors (see below), whose sum is σ = 25620464312184. Its totient is φ = 4880088440400.

The previous prime is 12200221101001. The next prime is 12200221101053. The reversal of 12200221101020 is 2010112200221.

12200221101020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122002211010202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12200221100986 and 12200221101004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 305005527506 + ... + 305005527545.

It is an arithmetic number, because the mean of its divisors is an integer number (2135038692682).

Almost surely, 212200221101020 is an apocalyptic number.

12200221101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200221101020 is an abundant number, since it is smaller than the sum of its proper divisors (13420243211164).

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

12200221101020 is a wasteful number, since it uses less digits than its factorization.

12200221101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610011055060 (or 610011055058 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12200221101020 its reverse (2010112200221), we get a palindrome (14210333301241).

The spelling of 12200221101020 in words is "twelve trillion, two hundred billion, two hundred twenty-one million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 610011055051 1220022110102 2440044220204 3050055275255 6100110550510 12200221101020