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2041319100 = 223526804397
BaseRepresentation
bin111100110101100…
…0000111010111100
312021021002202101010
41321223000322330
513140034202400
6534320315220
7101404632432
oct17153007274
95237082333
102041319100
119582a9287
1248b772b10
13266bb3432
14155172d52
15be325450
hex79ac0ebc

2041319100 has 36 divisors (see below), whose sum is σ = 5906217464. Its totient is φ = 544351680.

The previous prime is 2041319089. The next prime is 2041319107. The reversal of 2041319100 is 19131402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041319107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3401899 + ... + 3402498.

Almost surely, 22041319100 is an apocalyptic number.

2041319100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2041319100 is an abundant number, since it is smaller than the sum of its proper divisors (3864898364).

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

2041319100 is a wasteful number, since it uses less digits than its factorization.

2041319100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6804414 (or 6804407 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 2041319100 is about 45180.9594851637. The cubic root of 2041319100 is about 1268.5384430520.

The spelling of 2041319100 in words is "two billion, forty-one million, three hundred nineteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 6804397 13608794 20413191 27217588 34021985 40826382 68043970 81652764 102065955 136087940 170109925 204131910 340219850 408263820 510329775 680439700 1020659550 2041319100