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2120212424 = 231153835477
BaseRepresentation
bin111111001011111…
…1101111111001000
312110202112221200002
41332113331333020
513320233244144
6550215302132
7103353336221
oct17627757710
95422487602
102120212424
11998893a80
124b207a948
1327a346b85
1416182c248
15c620b14e
hex7e5fdfc8

2120212424 has 64 divisors (see below), whose sum is σ = 4472677440. Its totient is φ = 933986560.

The previous prime is 2120212421. The next prime is 2120212429. The reversal of 2120212424 is 4242120212.

It is a junction number, because it is equal to n+sod(n) for n = 2120212396 and 2120212405.

It is not an unprimeable number, because it can be changed into a prime (2120212421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384374 + ... + 389850.

It is an arithmetic number, because the mean of its divisors is an integer number (69885585).

Almost surely, 22120212424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120212424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236338720).

2120212424 is an abundant number, since it is smaller than the sum of its proper divisors (2352465016).

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

2120212424 is a wasteful number, since it uses less digits than its factorization.

2120212424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5630 (or 5626 counting only the distinct ones).

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

The square root of 2120212424 is about 46045.7644523359. The cubic root of 2120212424 is about 1284.6745629768.

Adding to 2120212424 its reverse (4242120212), we get a palindrome (6362332636).

The spelling of 2120212424 in words is "two billion, one hundred twenty million, two hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 53 83 88 106 166 212 332 424 583 664 913 1166 1826 2332 3652 4399 4664 5477 7304 8798 10954 17596 21908 35192 43816 48389 60247 96778 120494 193556 240988 290281 387112 454591 481976 580562 909182 1161124 1818364 2322248 3193091 3636728 5000501 6386182 10001002 12772364 20002004 24093323 25544728 40004008 48186646 96373292 192746584 265026553 530053106 1060106212 2120212424