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2042244230301 = 3211235126993251
BaseRepresentation
bin11101101101111111001…
…111011110110010011101
321020020101111211002200100
4131231333033132302131
5231430004010332201
64202105525251313
7300355500352242
oct35557717366235
97206344732610
102042244230301
11718124699310
1228b973563b39
1311a776563452
1470bb912d5c9
15381cba1b886
hex1db7f3dec9d

2042244230301 has 48 divisors (see below), whose sum is σ = 3221634124800. Its totient is φ = 1236358500000.

The previous prime is 2042244230293. The next prime is 2042244230321. The reversal of 2042244230301 is 1030324422402.

2042244230301 is a `hidden beast` number, since 2 + 0 + 422 + 4 + 4 + 230 + 3 + 0 + 1 = 666.

It is not a de Polignac number, because 2042244230301 - 23 = 2042244230293 is a prime.

It is a super-2 number, since 2×20422442303012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042244230321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 628187926 + ... + 628191176.

It is an arithmetic number, because the mean of its divisors is an integer number (67117377600).

Almost surely, 22042244230301 is an apocalyptic number.

It is an amenable number.

2042244230301 is a deficient number, since it is larger than the sum of its proper divisors (1179389894499).

2042244230301 is a wasteful number, since it uses less digits than its factorization.

2042244230301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8318 (or 8315 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2042244230301 its reverse (1030324422402), we get a palindrome (3072568652703).

The spelling of 2042244230301 in words is "two trillion, forty-two billion, two hundred forty-four million, two hundred thirty thousand, three hundred one".

Divisors: 1 3 9 11 33 99 2351 2699 3251 7053 8097 9753 21159 24291 25861 29259 29689 35761 77583 89067 107283 232749 267201 321849 6345349 7643101 8774449 19036047 22929303 26323347 57108141 68787909 69798839 78970041 84074111 96518939 209396517 252222333 289556817 628189551 756666999 868670451 20628729599 61886188797 185658566391 226916025589 680748076767 2042244230301