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2142142205 = 571759139439
BaseRepresentation
bin111111110101110…
…0111111011111101
312112021211002200012
41333223213323331
513341342022310
6552321313005
7104040623360
oct17753477375
95467732605
102142142205
119aa202165
124b9495765
13281a54788
141646da0d7
15c80ddc05
hex7fae7efd

2142142205 has 64 divisors (see below), whose sum is σ = 3193344000. Its totient is φ = 1346208768.

The previous prime is 2142142199. The next prime is 2142142259. The reversal of 2142142205 is 5022412412.

It is a cyclic number.

It is not a de Polignac number, because 2142142205 - 26 = 2142142141 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4879376 + ... + 4879814.

It is an arithmetic number, because the mean of its divisors is an integer number (49896000).

Almost surely, 22142142205 is an apocalyptic number.

It is an amenable number.

2142142205 is a deficient number, since it is larger than the sum of its proper divisors (1051201795).

2142142205 is a wasteful number, since it uses less digits than its factorization.

2142142205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666.

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 2142142205 is about 46283.2821329689. The cubic root of 2142142205 is about 1289.0885946566.

Adding to 2142142205 its reverse (5022412412), we get a palindrome (7164554617).

The spelling of 2142142205 in words is "two billion, one hundred forty-two million, one hundred forty-two thousand, two hundred five".

Divisors: 1 5 7 17 35 59 85 119 139 295 413 439 595 695 973 1003 2065 2195 2363 3073 4865 5015 7021 7463 8201 11815 15365 16541 25901 35105 37315 41005 52241 57407 61021 82705 129505 139417 181307 261205 287035 305105 427147 440317 697085 906535 975919 1037357 2135735 2201585 3082219 3600239 4879595 5186785 7261499 15411095 18001195 25201673 36307495 61204063 126008365 306020315 428428441 2142142205