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2110215140 = 2251153712549
BaseRepresentation
bin111110111000111…
…0101001111100100
312110001202000222022
41331301311033210
513310203341030
6545221122312
7103202350505
oct17561651744
95401660868
102110215140
11993185960
124aa859398
13278256617
14160388bac
15c53d3de5
hex7dc753e4

2110215140 has 96 divisors (see below), whose sum is σ = 4996857600. Its totient is φ = 741977600.

The previous prime is 2110215137. The next prime is 2110215143. The reversal of 2110215140 is 415120112.

It is an interprime number because it is at equal distance from previous prime (2110215137) and next prime (2110215143).

It is not an unprimeable number, because it can be changed into a prime (2110215143) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 826586 + ... + 829134.

It is an arithmetic number, because the mean of its divisors is an integer number (52050600).

Almost surely, 22110215140 is an apocalyptic number.

2110215140 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 2110215140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498428800).

2110215140 is an abundant number, since it is smaller than the sum of its proper divisors (2886642460).

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

2110215140 is a wasteful number, since it uses less digits than its factorization.

2110215140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 2110215140 is about 45937.0780524839. The cubic root of 2110215140 is about 1282.6522033858.

Adding to 2110215140 its reverse (415120112), we get a palindrome (2525335252).

The spelling of 2110215140 in words is "two billion, one hundred ten million, two hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 71 106 110 142 212 220 265 284 355 530 583 710 781 1060 1166 1420 1562 2332 2549 2915 3124 3763 3905 5098 5830 7526 7810 10196 11660 12745 15052 15620 18815 25490 28039 37630 41393 50980 56078 75260 82786 112156 135097 140195 165572 180979 206965 270194 280390 361958 413930 540388 560780 675485 723916 827860 904895 1350970 1486067 1809790 1990769 2701940 2972134 3619580 3981538 5944268 7430335 7963076 9591887 9953845 14860670 19183774 19907690 29721340 38367548 39815380 47959435 95918870 105510757 191837740 211021514 422043028 527553785 1055107570 2110215140