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2300313200221 = 37261723756449
BaseRepresentation
bin100001011110010101010…
…110011110011001011101
322010220111210010002122101
4201132111112132121131
5300142020134401341
64520425503045101
7325122622405531
oct41362526363135
98126453102571
102300313200221
11807614918043
123119962a0791
13138bc323314a
147d49b43dbc1
153ec82e06831
hex2179559e65d

2300313200221 has 8 divisors (see below), whose sum is σ = 2363386671800. Its totient is φ = 2237287246848.

The previous prime is 2300313200083. The next prime is 2300313200249. The reversal of 2300313200221 is 1220023130032.

It can be written as a sum of positive squares in 4 ways, for example, as 1289053683225 + 1011259516996 = 1135365^2 + 1005614^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2300313200221 is a prime.

It is a super-2 number, since 2×23003132002212 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300313204221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11781396 + ... + 11975053.

It is an arithmetic number, because the mean of its divisors is an integer number (295423333975).

Almost surely, 22300313200221 is an apocalyptic number.

It is an amenable number.

2300313200221 is a deficient number, since it is larger than the sum of its proper divisors (63073471579).

2300313200221 is a wasteful number, since it uses less digits than its factorization.

2300313200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23759103.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2300313200221 its reverse (1220023130032), we get a palindrome (3520336330253).

The spelling of 2300313200221 in words is "two trillion, three hundred billion, three hundred thirteen million, two hundred thousand, two hundred twenty-one".

Divisors: 1 37 2617 96829 23756449 878988613 62170627033 2300313200221