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2041101300 = 22352737109241
BaseRepresentation
bin111100110101000…
…1011101111110100
312021020200200121110
41321222023233310
513140010220200
6534311515020
7101403034440
oct17152135764
95236620543
102041101300
1195816a687
1248b688a70
13266b38264
14155117820
15be2d0b50
hex79a8bbf4

2041101300 has 288 divisors, whose sum is σ = 7024272640. Its totient is φ = 447897600.

The previous prime is 2041101241. The next prime is 2041101301. The reversal of 2041101300 is 31011402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041101301) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 8469180 + ... + 8469420.

Almost surely, 22041101300 is an apocalyptic number.

2041101300 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 2041101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512136320).

2041101300 is an abundant number, since it is smaller than the sum of its proper divisors (4983171340).

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

2041101300 is a wasteful number, since it uses less digits than its factorization.

2041101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2041101300 is about 45178.5491134897. The cubic root of 2041101300 is about 1268.4933255754.

Adding to 2041101300 its reverse (31011402), we get a palindrome (2072112702).

The spelling of 2041101300 in words is "two billion, forty-one million, one hundred one thousand, three hundred".