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2124212420 = 2251111385447
BaseRepresentation
bin111111010011100…
…1110100011000100
312111001002011122002
41332213032203010
513322244244140
6550441124432
7103432336061
oct17647164304
95431064562
102124212420
119a0076260
124b3489718
1327b117735
1416218dc68
15c674b415
hex7e9ce8c4

2124212420 has 48 divisors (see below), whose sum is σ = 4909500288. Its totient is φ = 765596160.

The previous prime is 2124212413. The next prime is 2124212491. The reversal of 2124212420 is 242124212.

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

It is a junction number, because it is equal to n+sod(n) for n = 2124212392 and 2124212401.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17864 + ... + 67583.

It is an arithmetic number, because the mean of its divisors is an integer number (102281256).

Almost surely, 22124212420 is an apocalyptic number.

2124212420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124212420 is an abundant number, since it is smaller than the sum of its proper divisors (2785287868).

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

2124212420 is a wasteful number, since it uses less digits than its factorization.

2124212420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85580 (or 85578 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2124212420 is about 46089.1789903010. The cubic root of 2124212420 is about 1285.4819451181.

Adding to 2124212420 its reverse (242124212), we get a palindrome (2366336632).

The spelling of 2124212420 in words is "two billion, one hundred twenty-four million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 220 226 452 565 1130 1243 2260 2486 4972 6215 12430 24860 85447 170894 341788 427235 854470 939917 1708940 1879834 3759668 4699585 9399170 9655511 18798340 19311022 38622044 48277555 96555110 106210621 193110220 212421242 424842484 531053105 1062106210 2124212420