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1020313133 = 7220822717
BaseRepresentation
bin111100110100001…
…011111000101101
32122002220021111022
4330310023320231
54042200010013
6245124503525
734166342600
oct7464137055
92562807438
101020313133
11483a383a4
1224584aba5
131334ccca8
1499718337
155e895008
hex3cd0be2d

1020313133 has 6 divisors (see below), whose sum is σ = 1186894926. Its totient is φ = 874554072.

The previous prime is 1020313121. The next prime is 1020313141. The reversal of 1020313133 is 3313130201.

It can be written as a sum of positive squares in only one way, i.e., 520432969 + 499880164 = 22813^2 + 22358^2 .

It is a de Polignac number, because none of the positive numbers 2k-1020313133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020313163) 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 5 ways as a sum of consecutive naturals, for example, 10411310 + ... + 10411407.

It is an arithmetic number, because the mean of its divisors is an integer number (197815821).

Almost surely, 21020313133 is an apocalyptic number.

It is an amenable number.

1020313133 is a deficient number, since it is larger than the sum of its proper divisors (166581793).

1020313133 is an equidigital number, since it uses as much as digits as its factorization.

1020313133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20822731 (or 20822724 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 1020313133 is about 31942.3407564317. The cubic root of 1020313133 is about 1006.7257077755.

Adding to 1020313133 its reverse (3313130201), we get a palindrome (4333443334).

The spelling of 1020313133 in words is "one billion, twenty million, three hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 7 49 20822717 145759019 1020313133