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10110222000 = 243253896311
BaseRepresentation
bin10010110101001110…
…11011111010110000
3222002121011111021200
421122213123322300
5131201204101000
64351121051200
7505353316614
oct113247337260
928077144250
1010110222000
114318a5847a
121b61a86b00
13c5179c8a8
146bca55344
153e28d1500
hex25a9dbeb0

10110222000 has 240 divisors, whose sum is σ = 35714053440. Its totient is φ = 2665344000.

The previous prime is 10110221999. The next prime is 10110222007. The reversal of 10110222000 is 22201101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110222007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1598845 + ... + 1605155.

It is an arithmetic number, because the mean of its divisors is an integer number (148808556).

Almost surely, 210110222000 is an apocalyptic number.

10110222000 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 10110222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17857026720).

10110222000 is an abundant number, since it is smaller than the sum of its proper divisors (25603831440).

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

10110222000 is a wasteful number, since it uses less digits than its factorization.

10110222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6429 (or 6410 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10110222000 its reverse (22201101), we get a palindrome (10132423101).

The spelling of 10110222000 in words is "ten billion, one hundred ten million, two hundred twenty-two thousand".