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10334552281 = 27723672
BaseRepresentation
bin10011001111111110…
…01100000011011001
3222200020021122120121
421213333030003121
5132131121133111
64425253153241
7514046150014
oct114777140331
928606248517
1010334552281
1144236490a9
12200502b821
13c890c52c1
1470076c37b
15407444871
hex267fcc0d9

10334552281 has 9 divisors (see below), whose sum is σ = 10400334399. Its totient is φ = 10269185544.

The previous prime is 10334552237. The next prime is 10334552287. The reversal of 10334552281 is 18225543301.

The square root of 10334552281 is 101659.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1781262025 + 8553290256 = 42205^2 + 92484^2 .

It is not a de Polignac number, because 10334552281 - 27 = 10334552153 is a prime.

It is a super-2 number, since 2×103345522812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10334552287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28159360 + ... + 28159726.

It is an arithmetic number, because the mean of its divisors is an integer number (1155592711).

Almost surely, 210334552281 is an apocalyptic number.

10334552281 is the 101659-th square number.

10334552281 is the 50830-th centered octagonal number.

It is an amenable number.

10334552281 is a deficient number, since it is larger than the sum of its proper divisors (65782118).

10334552281 is an frugal number, since it uses more digits than its factorization.

10334552281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 10334552281 in words is "ten billion, three hundred thirty-four million, five hundred fifty-two thousand, two hundred eighty-one".

Divisors: 1 277 367 76729 101659 134689 28159543 37308853 10334552281