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2141411321000 = 235371947675113
BaseRepresentation
bin11111001010010110000…
…011111010010010101000
321120201100122012021011102
4133022112003322102220
5240041102244233000
64315430100220532
7310466111620610
oct37122603722250
97521318167142
102141411321000
11756192956316
122a702a39a748
13126c1b639a43
14759056d9a40
153aa82a7d3d5
hex1f2960fa4a8

2141411321000 has 512 divisors, whose sum is σ = 6249520742400. Its totient is φ = 670465382400.

The previous prime is 2141411320999. The next prime is 2141411321029. The reversal of 2141411321000 is 1231141412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 418814444 + ... + 418819556.

It is an arithmetic number, because the mean of its divisors is an integer number (12206095200).

Almost surely, 22141411321000 is an apocalyptic number.

2141411321000 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 2141411321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124760371200).

2141411321000 is an abundant number, since it is smaller than the sum of its proper divisors (4108109421400).

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

2141411321000 is a wasteful number, since it uses less digits than its factorization.

2141411321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5274 (or 5260 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 2141411321000 its reverse (1231141412), we get a palindrome (2142642462412).

The spelling of 2141411321000 in words is "two trillion, one hundred forty-one billion, four hundred eleven million, three hundred twenty-one thousand".