Search a number
-
+
2420200002420 = 2232531433727599
BaseRepresentation
bin100011001101111111001…
…010010101001101110100
322120100221220021122221200
4203031333022111031310
5304123032200034140
65051454033212500
7336565545410304
oct43157712251564
98510856248850
102420200002420
11853445896a62
12331074101130
131472bab35765
14851d171b604
1542e4ce9c030
hex2337f295374

2420200002420 has 72 divisors (see below), whose sum is σ = 7578088627200. Its totient is φ = 624567741120.

The previous prime is 2420200002419. The next prime is 2420200002421. The reversal of 2420200002420 is 242000020242.

2420200002420 is a `hidden beast` number, since 2 + 42 + 0 + 200 + 0 + 0 + 2 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (2420200002419) and next prime (2420200002421).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2420200002393 and 2420200002402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420200002421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216858220 + ... + 216869379.

Almost surely, 22420200002420 is an apocalyptic number.

2420200002420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2420200002420 is an abundant number, since it is smaller than the sum of its proper divisors (5157888624780).

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

2420200002420 is a wasteful number, since it uses less digits than its factorization.

2420200002420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433727645 (or 433727640 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 2420200002420 its reverse (242000020242), we get a palindrome (2662200022662).

The spelling of 2420200002420 in words is "two trillion, four hundred twenty billion, two hundred million, two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 433727599 867455198 1301182797 1734910396 2168637995 2602365594 3903548391 4337275990 5204731188 6505913985 7807096782 8674551980 13011827970 13445555569 15614193564 19517741955 26023655940 26891111138 39035483910 40336666707 53782222276 67227777845 78070967820 80673333414 121010000121 134455555690 161346666828 201683333535 242020000242 268911111380 403366667070 484040000484 605050000605 806733334140 1210100001210 2420200002420