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2135312050 = 252297320173
BaseRepresentation
bin111111101000110…
…0100011010110010
312111210222002110111
41333101210122302
513333114441200
6551515051534
7103625565364
oct17721443262
95453862414
102135312050
119a6367603
124b7140baa
13280502971
1416383cd34
15c76e00ba
hex7f4646b2

2135312050 has 48 divisors (see below), whose sum is σ = 4165124040. Its totient is φ = 813335040.

The previous prime is 2135312041. The next prime is 2135312077. The reversal of 2135312050 is 502135312.

It can be written as a sum of positive squares in 12 ways, for example, as 820306881 + 1315005169 = 28641^2 + 36263^2 .

It is a super-3 number, since 3×21353120503 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95764 + ... + 115936.

Almost surely, 22135312050 is an apocalyptic number.

2135312050 is a deficient number, since it is larger than the sum of its proper divisors (2029811990).

2135312050 is a wasteful number, since it uses less digits than its factorization.

2135312050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20287 (or 20282 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 2135312050 is about 46209.4368067822. The cubic root of 2135312050 is about 1287.7170627210.

Adding to 2135312050 its reverse (502135312), we get a palindrome (2637447362).

The spelling of 2135312050 in words is "two billion, one hundred thirty-five million, three hundred twelve thousand, fifty".

Divisors: 1 2 5 10 25 29 50 58 73 145 146 290 365 725 730 1450 1825 2117 3650 4234 10585 20173 21170 40346 52925 100865 105850 201730 504325 585017 1008650 1170034 1472629 2925085 2945258 5850170 7363145 14625425 14726290 29250850 36815725 42706241 73631450 85412482 213531205 427062410 1067656025 2135312050