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2124100420 = 225138169617
BaseRepresentation
bin111111010011011…
…0011001101000100
312111000212110222221
41332212303031010
513322232203140
6550434502124
7103431361411
oct17646631504
95430773887
102124100420
1199aaaa0a2
124b3434944
1327b0a8770
14162161108
15c672814a
hex7e9b3344

2124100420 has 24 divisors (see below), whose sum is σ = 4803735384. Its totient is φ = 784283136.

The previous prime is 2124100379. The next prime is 2124100427. The reversal of 2124100420 is 240014212.

It can be written as a sum of positive squares in 4 ways, for example, as 35976004 + 2088124416 = 5998^2 + 45696^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2124100394 and 2124100403.

It is not an unprimeable number, because it can be changed into a prime (2124100427) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4084549 + ... + 4085068.

It is an arithmetic number, because the mean of its divisors is an integer number (200155641).

Almost surely, 22124100420 is an apocalyptic number.

2124100420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124100420 is an abundant number, since it is smaller than the sum of its proper divisors (2679634964).

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

2124100420 is a wasteful number, since it uses less digits than its factorization.

2124100420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8169639 (or 8169637 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2124100420 is about 46087.9639385382. The cubic root of 2124100420 is about 1285.4593521943.

Adding to 2124100420 its reverse (240014212), we get a palindrome (2364114632).

The spelling of 2124100420 in words is "two billion, one hundred twenty-four million, one hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 8169617 16339234 32678468 40848085 81696170 106205021 163392340 212410042 424820084 531025105 1062050210 2124100420