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1002130353 = 33717330649
BaseRepresentation
bin111011101110110…
…100101110110001
32120211200111102000
4323232310232301
54023021132403
6243235044213
733555652560
oct7356645661
92524614360
101002130353
11474749404
1223b740669
1312c804a53
1497143bd7
155cea27a3
hex3bbb4bb1

1002130353 has 32 divisors (see below), whose sum is σ = 1706592000. Its totient is φ = 569317248.

The previous prime is 1002130333. The next prime is 1002130361. The reversal of 1002130353 is 3530312001.

1002130353 is a `hidden beast` number, since 100 + 213 + 0 + 353 = 666.

It is not a de Polignac number, because 1002130353 - 25 = 1002130321 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1002130313) 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 31 ways as a sum of consecutive naturals, for example, 17373 + ... + 48021.

It is an arithmetic number, because the mean of its divisors is an integer number (53331000).

Almost surely, 21002130353 is an apocalyptic number.

It is an amenable number.

1002130353 is a deficient number, since it is larger than the sum of its proper divisors (704461647).

1002130353 is a wasteful number, since it uses less digits than its factorization.

1002130353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30838 (or 30832 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 1002130353 is about 31656.4425196515. The cubic root of 1002130353 is about 1000.7096139955.

Adding to 1002130353 its reverse (3530312001), we get a palindrome (4532442354).

The spelling of 1002130353 in words is "one billion, two million, one hundred thirty thousand, three hundred fifty-three".

Divisors: 1 3 7 9 21 27 63 173 189 519 1211 1557 3633 4671 10899 30649 32697 91947 214543 275841 643629 827523 1930887 5302277 5792661 15906831 37115939 47720493 111347817 143161479 334043451 1002130353