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1220110210000 = 245411232771741
BaseRepresentation
bin10001110000010100001…
…111000101001111010000
311022122022120121121221001
4101300110033011033100
5124442241203210000
62332302204111344
7154102316444623
oct21602417051720
94278276547831
101220110210000
1143049a450560
12178570535554
138b095a6c456
14430a72dbdba
1521b1047646a
hex11c143c53d0

1220110210000 has 400 divisors, whose sum is σ = 3376744195968. Its totient is φ = 422611200000.

The previous prime is 1220110209961. The next prime is 1220110210003. The reversal of 1220110210000 is 120110221.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220110210003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 700809130 + ... + 700810870.

Almost surely, 21220110210000 is an apocalyptic number.

1220110210000 is a gapful number since it is divisible by the number (10) 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 1220110210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688372097984).

1220110210000 is an abundant number, since it is smaller than the sum of its proper divisors (2156633985968).

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

1220110210000 is a wasteful number, since it uses less digits than its factorization.

1220110210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1220110210000 its reverse (120110221), we get a palindrome (1220230320221).

It can be divided in two parts, 12201 and 10210000, that added together give a palindrome (10222201).

The spelling of 1220110210000 in words is "one trillion, two hundred twenty billion, one hundred ten million, two hundred ten thousand".