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1000012110000 = 24354101330037
BaseRepresentation
bin11101000110101010101…
…11011101100010110000
310112121012120012200021120
432203111113131202300
5112341011100010000
62043222122022240
7132151142454111
oct16432527354260
93477176180246
101000012110000
11356114847362
12141986047980
13733ba948917
1436587cba208
151b02c8596a0
hexe8d55dd8b0

1000012110000 has 200 divisors, whose sum is σ = 3260144407344. Its totient is φ = 264028800000.

The previous prime is 1000012109963. The next prime is 1000012110037. The reversal of 1000012110000 is 112100001.

It is an interprime number because it is at equal distance from previous prime (1000012109963) and next prime (1000012110037).

It is a tau number, because it is divible by the number of its divisors (200).

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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2864982 + ... + 3195018.

Almost surely, 21000012110000 is an apocalyptic number.

1000012110000 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 1000012110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630072203672).

1000012110000 is an abundant number, since it is smaller than the sum of its proper divisors (2260132297344).

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

1000012110000 is a wasteful number, since it uses less digits than its factorization.

1000012110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330169 (or 330148 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1000012110000 its reverse (112100001), we get a palindrome (1000124210001).

Subtracting from 1000012110000 its reverse (112100001), we obtain a palindrome (999900009999).

The spelling of 1000012110000 in words is "one trillion, twelve million, one hundred ten thousand".