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2201112010020 = 22357111767418289
BaseRepresentation
bin100000000001111100011…
…111111101110100100100
321210102110021120111102210
4200001330133331310210
5242030334133310040
64403102113203420
7315011415245550
oct40017437756444
97712407514383
102201112010020
1177953938a630
122b670bb60570
1312c74407a931
147876a518860
153c3c8dab480
hex2007c7fdd24

2201112010020 has 384 divisors, whose sum is σ = 8257325690880. Its totient is φ = 424043642880.

The previous prime is 2201112009983. The next prime is 2201112010033. The reversal of 2201112010020 is 200102111022.

2201112010020 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 2201112009978 and 2201112010005.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5053036 + ... + 5471324.

It is an arithmetic number, because the mean of its divisors is an integer number (21503452320).

Almost surely, 22201112010020 is an apocalyptic number.

2201112010020 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 2201112010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128662845440).

2201112010020 is an abundant number, since it is smaller than the sum of its proper divisors (6056213680860).

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

2201112010020 is a wasteful number, since it uses less digits than its factorization.

2201112010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418403 (or 418401 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2201112010020 its reverse (200102111022), we get a palindrome (2401214121042).

The spelling of 2201112010020 in words is "two trillion, two hundred one billion, one hundred twelve million, ten thousand, twenty".