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2041242021 = 3271319113049
BaseRepresentation
bin111100110101010…
…1110000110100101
312021020221211122100
41321222232012211
513140024221041
6534314522313
7101404161630
oct17152560645
95236854570
102041242021
11958256385
1248b736399
13266b87320
14155152c17
15be30c6b6
hex79aae1a5

2041242021 has 48 divisors (see below), whose sum is σ = 3648153600. Its totient is φ = 1070979840.

The previous prime is 2041242001. The next prime is 2041242023. The reversal of 2041242021 is 1202421402.

It is not a de Polignac number, because 2041242021 - 25 = 2041241989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2041241985 and 2041242003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041242023) 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 47 ways as a sum of consecutive naturals, for example, 149905 + ... + 162953.

It is an arithmetic number, because the mean of its divisors is an integer number (76003200).

Almost surely, 22041242021 is an apocalyptic number.

2041242021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2041242021 is a deficient number, since it is larger than the sum of its proper divisors (1606911579).

2041242021 is a wasteful number, since it uses less digits than its factorization.

2041242021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13266 (or 13263 counting only the distinct ones).

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

The square root of 2041242021 is about 45180.1064739781. The cubic root of 2041242021 is about 1268.5224764309.

Adding to 2041242021 its reverse (1202421402), we get a palindrome (3243663423).

The spelling of 2041242021 in words is "two billion, forty-one million, two hundred forty-two thousand, twenty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 191 273 573 819 1337 1719 2483 4011 7449 12033 13049 17381 22347 39147 52143 91343 117441 156429 169637 274029 508911 822087 1187459 1526733 2492359 3562377 7477077 10687131 17446513 22431231 32400667 52339539 97202001 157018617 226804669 291606003 680414007 2041242021