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2100011144 = 237112417559
BaseRepresentation
bin111110100101011…
…1010000010001000
312102100112121201112
41331022322002020
513300100324034
6544214305452
7103016541320
oct17512720210
95370477645
102100011144
11988446500
124a7358288
132760c2c5a
1415cc90280
15c456a7ce
hex7d2ba088

2100011144 has 96 divisors (see below), whose sum is σ = 5067619200. Its totient is φ = 798124800.

The previous prime is 2100011143. The next prime is 2100011149. The reversal of 2100011144 is 4411100012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100011141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274037 + ... + 281595.

It is an arithmetic number, because the mean of its divisors is an integer number (52787700).

Almost surely, 22100011144 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 2100011144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533809600).

2100011144 is an abundant number, since it is smaller than the sum of its proper divisors (2967608056).

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

2100011144 is a wasteful number, since it uses less digits than its factorization.

2100011144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7635 (or 7620 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2100011144 is about 45825.8785404055. The cubic root of 2100011144 is about 1280.5814301857.

Adding to 2100011144 its reverse (4411100012), we get a palindrome (6511111156).

The spelling of 2100011144 in words is "two billion, one hundred million, eleven thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 41 44 56 77 82 88 121 154 164 242 287 308 328 451 484 574 616 847 902 968 1148 1694 1804 2296 3157 3388 3608 4961 6314 6776 7559 9922 12628 15118 19844 25256 30236 34727 39688 52913 60472 69454 83149 105826 138908 166298 211652 277816 309919 332596 423304 582043 619838 665192 914639 1164086 1239676 1829278 2169433 2328172 2479352 3409109 3658556 4338866 4656344 6402473 6818218 7317112 8677732 12804946 13636436 17355464 23863763 25609892 27272872 37500199 47727526 51219784 75000398 95455052 150000796 190910104 262501393 300001592 525002786 1050005572 2100011144