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2100220412424 = 23387509183851
BaseRepresentation
bin11110100011111110111…
…001000100001000001000
321102210000222020022012220
4132203332321010020020
5233402222411144144
64244454500134040
7304510263645261
oct36437671041010
97383028208186
102100220412424
1173a775741012
1229b053697320
13123085927164
1473918cc7968
1539971754919
hex1e8fee44208

2100220412424 has 16 divisors (see below), whose sum is σ = 5250551031120. Its totient is φ = 700073470800.

The previous prime is 2100220412377. The next prime is 2100220412431. The reversal of 2100220412424 is 4242140220012.

It is a happy number.

It is a super-3 number, since 3×21002204124243 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 87509183851 = 2100220412424 / (2 + 1 + 0 + 0 + 2 + 2 + 0 + 4 + 1 + 2 + 4 + 2 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 2100220412394 and 2100220412403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43754591902 + ... + 43754591949.

It is an arithmetic number, because the mean of its divisors is an integer number (328159439445).

Almost surely, 22100220412424 is an apocalyptic number.

2100220412424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2100220412424 is an abundant number, since it is smaller than the sum of its proper divisors (3150330618696).

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

2100220412424 is a wasteful number, since it uses less digits than its factorization.

2100220412424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87509183860 (or 87509183856 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 2100220412424 its reverse (4242140220012), we get a palindrome (6342360632436).

The spelling of 2100220412424 in words is "two trillion, one hundred billion, two hundred twenty million, four hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 87509183851 175018367702 262527551553 350036735404 525055103106 700073470808 1050110206212 2100220412424