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2120244021 = 32735395339
BaseRepresentation
bin111111001100000…
…0101101100110101
312110202121120000100
41332120011230311
513320240302041
6550220104313
7103353530310
oct17630055465
95422546010
102120244021
11998905795
124b2095099
1327a35837c
14161839977
15c62156b6
hex7e605b35

2120244021 has 24 divisors (see below), whose sum is σ = 3510037440. Its totient is φ = 1208123136.

The previous prime is 2120243981. The next prime is 2120244053. The reversal of 2120244021 is 1204420212.

2120244021 is a `hidden beast` number, since 2 + 1 + 202 + 440 + 21 = 666.

It is not a de Polignac number, because 2120244021 - 210 = 2120242997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2120243985 and 2120244003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120244421) 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 23 ways as a sum of consecutive naturals, for example, 25431 + ... + 69908.

It is an arithmetic number, because the mean of its divisors is an integer number (146251560).

Almost surely, 22120244021 is an apocalyptic number.

2120244021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2120244021 is a deficient number, since it is larger than the sum of its proper divisors (1389793419).

2120244021 is a wasteful number, since it uses less digits than its factorization.

2120244021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95705 (or 95702 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2120244021 is about 46046.1075553624. The cubic root of 2120244021 is about 1284.6809446740.

Adding to 2120244021 its reverse (1204420212), we get a palindrome (3324664233).

The spelling of 2120244021 in words is "two billion, one hundred twenty million, two hundred forty-four thousand, twenty-one".

Divisors: 1 3 7 9 21 63 353 1059 2471 3177 7413 22239 95339 286017 667373 858051 2002119 6006357 33654667 100964001 235582669 302892003 706748007 2120244021