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1012220110000 = 24541123400087
BaseRepresentation
bin11101011101011010000…
…01010010010010110000
310120202201100201022222201
432232231001102102300
5113041011322010000
62053001341512544
7133062520654621
oct16565501222260
93522640638881
101012220110000
11360309955460
12144212572754
13745b4c08b68
1436dc539da48
151b4e44b496a
hexebad0524b0

1012220110000 has 200 divisors, whose sum is σ = 2789720803584. Its totient is φ = 352075680000.

The previous prime is 1012220109997. The next prime is 1012220110001. The reversal of 1012220110000 is 110222101.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is not an unprimeable number, because it can be changed into a prime (1012220110001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2329957 + ... + 2730043.

Almost surely, 21012220110000 is an apocalyptic number.

1012220110000 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 1012220110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394860401792).

1012220110000 is an abundant number, since it is smaller than the sum of its proper divisors (1777500693584).

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

1012220110000 is a wasteful number, since it uses less digits than its factorization.

1012220110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400149 (or 400128 counting only the distinct ones).

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

Adding to 1012220110000 its reverse (110222101), we get a palindrome (1012330332101).

The spelling of 1012220110000 in words is "one trillion, twelve billion, two hundred twenty million, one hundred ten thousand".