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1034224224301 = 9971037336233
BaseRepresentation
bin11110000110011001001…
…00010100100000101101
310122212111212100011020001
433003030210110200231
5113421042400134201
62111041022224301
7134502016600432
oct17031444244055
93585455304201
101034224224301
11369680681194
12148533725091
13766b086b738
14380b18d1b89
151bd81157301
hexf0cc91482d

1034224224301 has 4 divisors (see below), whose sum is σ = 1035261561532. Its totient is φ = 1033186887072.

The previous prime is 1034224224269. The next prime is 1034224224359.

1034224224301 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 491274828100 + 542949396201 = 700910^2 + 736851^2 .

It is a cyclic number.

It is not a de Polignac number, because 1034224224301 - 25 = 1034224224269 is a prime.

It is a super-7 number, since 7×10342242243017 (a number of 85 digits) contains 7777777 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1034224224301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034224224391) 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 3 ways as a sum of consecutive naturals, for example, 518667120 + ... + 518669113.

It is an arithmetic number, because the mean of its divisors is an integer number (258815390383).

Almost surely, 21034224224301 is an apocalyptic number.

It is an amenable number.

1034224224301 is a deficient number, since it is larger than the sum of its proper divisors (1037337231).

1034224224301 is an equidigital number, since it uses as much as digits as its factorization.

1034224224301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037337230.

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 1034224224301 in words is "one trillion, thirty-four billion, two hundred twenty-four million, two hundred twenty-four thousand, three hundred one".

Divisors: 1 997 1037336233 1034224224301