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2001100444 = 227199194093
BaseRepresentation
bin111011101000110…
…0101111010011100
312011110102102202021
41313101211322130
513044240203234
6530322305524
7100406034040
oct16721457234
95143372667
102001100444
11937629422
1247a1b82a4
1325b771205
1414daa4020
15baa2d9b4
hex77465e9c

2001100444 has 48 divisors (see below), whose sum is σ = 4218457600. Its totient is φ = 811394496.

The previous prime is 2001100433. The next prime is 2001100483. The reversal of 2001100444 is 4440011002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486862 + ... + 490954.

Almost surely, 22001100444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001100444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109228800).

2001100444 is an abundant number, since it is smaller than the sum of its proper divisors (2217357156).

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

2001100444 is a wasteful number, since it uses less digits than its factorization.

2001100444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5042 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2001100444 is about 44733.6611960166. The cubic root of 2001100444 is about 1260.1520862863.

Adding to 2001100444 its reverse (4440011002), we get a palindrome (6441111446).

The spelling of 2001100444 in words is "two billion, one million, one hundred thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 919 1838 3676 4093 6433 8186 12866 16372 17461 25732 28651 34922 57302 69844 77767 114604 122227 155534 244454 311068 488908 544369 1088738 2177476 3761467 7522934 15045868 26330269 52660538 71467873 105321076 142935746 285871492 500275111 1000550222 2001100444