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1000110220000 = 25541931731163
BaseRepresentation
bin11101000110110110011…
…01101110001011100000
310112121110101211011220021
432203123031232023200
5112341211204020000
62043235544523224
7132153443415103
oct16433315561340
93477411734807
101000110220000
11356165167901
121419b2a80514
137340507a088
1436596d3873a
151b03628911a
hexe8db36e2e0

1000110220000 has 480 divisors, whose sum is σ = 2712415749120. Its totient is φ = 361428480000.

The previous prime is 1000110219883. The next prime is 1000110220001. The reversal of 1000110220000 is 220110001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000110220001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 859939419 + ... + 859940581.

It is an arithmetic number, because the mean of its divisors is an integer number (5650866144).

Almost surely, 21000110220000 is an apocalyptic number.

1000110220000 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 1000110220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356207874560).

1000110220000 is an abundant number, since it is smaller than the sum of its proper divisors (1712305529120).

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

1000110220000 is a wasteful number, since it uses less digits than its factorization.

1000110220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1000110220000 its reverse (220110001), we get a palindrome (1000330330001).

The spelling of 1000110220000 in words is "one trillion, one hundred ten million, two hundred twenty thousand".