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2141041000 = 235372953199
BaseRepresentation
bin111111110011101…
…1011000101101000
312112012202011002211
41333213123011220
513341101303000
6552241534504
7104025356020
oct17747330550
95465664084
102141041000
119a961a87a
124b9044434
1328175a487
141644d0a80
15c7e727ba
hex7f9db168

2141041000 has 256 divisors, whose sum is σ = 6065280000. Its totient is φ = 691891200.

The previous prime is 2141040989. The next prime is 2141041037. The reversal of 2141041000 is 1401412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10758901 + ... + 10759099.

It is an arithmetic number, because the mean of its divisors is an integer number (23692500).

Almost surely, 22141041000 is an apocalyptic number.

2141041000 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 2141041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032640000).

2141041000 is an abundant number, since it is smaller than the sum of its proper divisors (3924239000).

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

2141041000 is a wasteful number, since it uses less digits than its factorization.

2141041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2141041000 is about 46271.3842455572. The cubic root of 2141041000 is about 1288.8676640822.

Adding to 2141041000 its reverse (1401412), we get a palindrome (2142442412).

The spelling of 2141041000 in words is "two billion, one hundred forty-one million, forty-one thousand".