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1000222110000 = 24325437300367
BaseRepresentation
bin11101000111000011110…
…00100011000100110000
310112121202012100210010100
432203201320203010300
5112341423330010000
62043255023032400
7132156302441031
oct16434170430460
93477665323110
101000222110000
1135621233a483
12141a2443b700
13734222c4789
14365a7b42a88
151b040edba00
hexe8e1e23130

1000222110000 has 300 divisors, whose sum is σ = 3592471566112. Its totient is φ = 259516224000.

The previous prime is 1000222109989. The next prime is 1000222110001. The reversal of 1000222110000 is 112220001.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is not an unprimeable number, because it can be changed into a prime (1000222110001) 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 59 ways as a sum of consecutive naturals, for example, 3179817 + ... + 3480183.

Almost surely, 21000222110000 is an apocalyptic number.

1000222110000 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 1000222110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796235783056).

1000222110000 is an abundant number, since it is smaller than the sum of its proper divisors (2592249456112).

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

1000222110000 is a wasteful number, since it uses less digits than its factorization.

1000222110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300438 (or 300414 counting only the distinct ones).

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

Adding to 1000222110000 its reverse (112220001), we get a palindrome (1000334330001).

The spelling of 1000222110000 in words is "one trillion, two hundred twenty-two million, one hundred ten thousand".