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24130240100 = 2252241302401
BaseRepresentation
bin10110011110010001…
…100011111001100100
32022021200022012112022
4112132101203321210
5343404320140400
615030230442312
71512653441141
oct263621437144
968250265468
1024130240100
11a26298959a
124815203398
13237729a1a5
14124ca5d3c8
1596366ab85
hex59e463e64

24130240100 has 18 divisors (see below), whose sum is σ = 52362621234. Its totient is φ = 9652096000.

The previous prime is 24130240093. The next prime is 24130240109. The reversal of 24130240100 is 104203142.

It can be written as a sum of positive squares in 3 ways, for example, as 3891763456 + 20238476644 = 62384^2 + 142262^2 .

It is not an unprimeable number, because it can be changed into a prime (24130240109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 120651101 + ... + 120651300.

It is an arithmetic number, because the mean of its divisors is an integer number (2909034513).

Almost surely, 224130240100 is an apocalyptic number.

24130240100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24130240100 is an abundant number, since it is smaller than the sum of its proper divisors (28232381134).

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

24130240100 is a wasteful number, since it uses less digits than its factorization.

24130240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241302415 (or 241302408 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 24130240100 its reverse (104203142), we get a palindrome (24234443242).

The spelling of 24130240100 in words is "twenty-four billion, one hundred thirty million, two hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 241302401 482604802 965209604 1206512005 2413024010 4826048020 6032560025 12065120050 24130240100