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2140143100 = 2252238771061
BaseRepresentation
bin111111110001111…
…1111110111111100
312112011001112102021
41333203333313330
513340334034400
6552210405524
7104014626154
oct17743776774
95464045367
102140143100
119a9067207
124b88908a4
13281504884
14164339764
15c7d4671a
hex7f8ffdfc

2140143100 has 72 divisors (see below), whose sum is σ = 4856126688. Its totient is φ = 817132800.

The previous prime is 2140143091. The next prime is 2140143113. The reversal of 2140143100 is 13410412.

It is a super-2 number, since 2×21401431002 = 9160424976955220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2016570 + ... + 2017630.

It is an arithmetic number, because the mean of its divisors is an integer number (67446204).

Almost surely, 22140143100 is an apocalyptic number.

2140143100 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 2140143100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428063344).

2140143100 is an abundant number, since it is smaller than the sum of its proper divisors (2715983588).

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

2140143100 is a wasteful number, since it uses less digits than its factorization.

2140143100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2140143100 is about 46261.6806871519. The cubic root of 2140143100 is about 1288.6874657439.

Adding to 2140143100 its reverse (13410412), we get a palindrome (2153553512).

The spelling of 2140143100 in words is "two billion, one hundred forty million, one hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 877 1061 1150 1754 2122 2300 3508 4244 4385 5305 8770 10610 17540 20171 21220 21925 24403 26525 40342 43850 48806 53050 80684 87700 97612 100855 106100 122015 201710 244030 403420 488060 504275 610075 930497 1008550 1220150 1860994 2017100 2440300 3721988 4652485 9304970 18609940 21401431 23262425 42802862 46524850 85605724 93049700 107007155 214014310 428028620 535035775 1070071550 2140143100