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1000010220000 = 25354112416287
BaseRepresentation
bin11101000110101010100…
…00010000000111100000
310112121012102122122200120
432203111100100013200
5112341010104020000
62043222013320240
7132151120422651
oct16432520200740
93477172578616
101000010220000
11356113776380
12141985496080
13733ba43658c
1436587947528
151b02c5d46a0
hexe8d54101e0

1000010220000 has 480 divisors, whose sum is σ = 3593856397824. Its totient is φ = 241382400000.

The previous prime is 1000010219993. The next prime is 1000010220023. The reversal of 1000010220000 is 220100001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 159056857 + ... + 159063143.

Almost surely, 21000010220000 is an apocalyptic number.

1000010220000 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 1000010220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796928198912).

1000010220000 is an abundant number, since it is smaller than the sum of its proper divisors (2593846177824).

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

1000010220000 is a wasteful number, since it uses less digits than its factorization.

1000010220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6572 (or 6549 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 1000010220000 its reverse (220100001), we get a palindrome (1000230320001).

The spelling of 1000010220000 in words is "one trillion, ten million, two hundred twenty thousand".