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2010044112 = 243472413697
BaseRepresentation
bin111011111001110…
…1101011011010000
312012002020211011020
41313303231123100
513104032402422
6531242115440
7100545043626
oct16763553320
95162224136
102010044112
1194168798a
124811abb80
1326058301b
14150d51516
15bb6e895c
hex77ced6d0

2010044112 has 80 divisors (see below), whose sum is σ = 5326540032. Its totient is φ = 652861440.

The previous prime is 2010044063. The next prime is 2010044149. The reversal of 2010044112 is 2114400102.

It is a junction number, because it is equal to n+sod(n) for n = 2010044091 and 2010044100.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 541848 + ... + 545544.

Almost surely, 22010044112 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 2010044112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663270016).

2010044112 is an abundant number, since it is smaller than the sum of its proper divisors (3316495920).

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

2010044112 is a wasteful number, since it uses less digits than its factorization.

2010044112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996 (or 3990 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2010044112 is about 44833.5154990103. The cubic root of 2010044112 is about 1262.0266603436.

Adding to 2010044112 its reverse (2114400102), we get a palindrome (4124444214).

The spelling of 2010044112 in words is "two billion, ten million, forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 241 282 376 482 564 723 752 964 1128 1446 1928 2256 2892 3697 3856 5784 7394 11091 11327 11568 14788 22182 22654 29576 33981 44364 45308 59152 67962 88728 90616 135924 173759 177456 181232 271848 347518 521277 543696 695036 890977 1042554 1390072 1781954 2085108 2672931 2780144 3563908 4170216 5345862 7127816 8340432 10691724 14255632 21383448 41875919 42766896 83751838 125627757 167503676 251255514 335007352 502511028 670014704 1005022056 2010044112