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1010222220000 = 25354724361131
BaseRepresentation
bin11101011001101011110…
…11111100001011100000
310120120120010100000010210
432230311323330023200
5113022413342020000
62052031212054120
7132662151121500
oct16546573741340
93516503300123
101010222220000
1135a48411a0a4
12143955464340
1374357020026
1436c75cd3a00
151b428dbc350
hexeb35efc2e0

1010222220000 has 1440 divisors, whose sum is σ = 4039659195264. Its totient is φ = 220147200000.

The previous prime is 1010222219977. The next prime is 1010222220001. The reversal of 1010222220000 is 222220101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010222220001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7711619935 + ... + 7711620065.

Almost surely, 21010222220000 is an apocalyptic number.

1010222220000 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 1010222220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019829597632).

1010222220000 is an abundant number, since it is smaller than the sum of its proper divisors (3029436975264).

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

1010222220000 is a wasteful number, since it uses less digits than its factorization.

1010222220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1010222220000 its reverse (222220101), we get a palindrome (1010444440101).

The spelling of 1010222220000 in words is "one trillion, ten billion, two hundred twenty-two million, two hundred twenty thousand".