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2000001010000 = 24547179159617
BaseRepresentation
bin11101000110101001010…
…110011000100101010000
321002012100111202011102111
4131012221112120211100
5230232000224310000
64130442054355104
7264331614042460
oct35065126304520
97065314664374
102000001010000
117012174806a4
1228374435ba94
131167a3828cc6
146cb2ca73ba0
153705812bcba
hex1d1a9598950

2000001010000 has 200 divisors, whose sum is σ = 5564896413120. Its totient is φ = 681879552000.

The previous prime is 2000001009991. The next prime is 2000001010009. The reversal of 2000001010000 is 101000002.

It is an interprime number because it is at equal distance from previous prime (2000001009991) and next prime (2000001010009).

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 (4).

2000001010000 is a modest number, since divided by 1010000 gives 20000 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000001010009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12450192 + ... + 12609808.

Almost surely, 22000001010000 is an apocalyptic number.

2000001010000 is a gapful number since it is divisible by the number (20) 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 2000001010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782448206560).

2000001010000 is an abundant number, since it is smaller than the sum of its proper divisors (3564895403120).

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

2000001010000 is a wasteful number, since it uses less digits than its factorization.

2000001010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159831 (or 159810 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

Adding to 2000001010000 its reverse (101000002), we get a palindrome (2000102010002).

It can be divided in two parts, 200000 and 1010000, that added together give a square (1210000 = 11002).

The spelling of 2000001010000 in words is "two trillion, one million, ten thousand".