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242304310100 = 22522423043101
BaseRepresentation
bin1110000110101001110…
…1100101101101010100
3212011102121022022012102
43201222131211231110
512432214400410400
6303151342141232
723335345440026
oct3415235455524
9764377268172
10242304310100
1193840514556
123ab63281818
1319b068c5628
14ba28720016
1564823ce9d5
hex386a765b54

242304310100 has 18 divisors (see below), whose sum is σ = 525800353134. Its totient is φ = 96921724000.

The previous prime is 242304310081. The next prime is 242304310133. The reversal of 242304310100 is 1013403242.

It can be written as a sum of positive squares in 3 ways, for example, as 26744677444 + 215559632656 = 163538^2 + 464284^2 .

It is a super-2 number, since 2×2423043101002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1211521451 + ... + 1211521650.

Almost surely, 2242304310100 is an apocalyptic number.

242304310100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242304310100 is an abundant number, since it is smaller than the sum of its proper divisors (283496043034).

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

242304310100 is a wasteful number, since it uses less digits than its factorization.

242304310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2423043115 (or 2423043108 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 242304310100 its reverse (1013403242), we get a palindrome (243317713342).

The spelling of 242304310100 in words is "two hundred forty-two billion, three hundred four million, three hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2423043101 4846086202 9692172404 12115215505 24230431010 48460862020 60576077525 121152155050 242304310100