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1022035313 = 13292710969
BaseRepresentation
bin111100111010110…
…000010101110001
32122020010202212202
4330322300111301
54043120112223
6245225432545
734220104535
oct7472602561
92566122782
101022035313
11484a04292
1224633b755
13133983b30
1499a45bc5
155ead5428
hex3ceb0571

1022035313 has 8 divisors (see below), whose sum is σ = 1138607400. Its totient is φ = 910885248.

The previous prime is 1022035283. The next prime is 1022035321. The reversal of 1022035313 is 3135302201.

It can be written as a sum of positive squares in 4 ways, for example, as 110418064 + 911617249 = 10508^2 + 30193^2 .

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

It is not a de Polignac number, because 1022035313 - 28 = 1022035057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1022035363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1355108 + ... + 1355861.

It is an arithmetic number, because the mean of its divisors is an integer number (142325925).

Almost surely, 21022035313 is an apocalyptic number.

1022035313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1022035313 is a deficient number, since it is larger than the sum of its proper divisors (116572087).

1022035313 is a wasteful number, since it uses less digits than its factorization.

1022035313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711011.

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 1022035313 is about 31969.2870267699. The cubic root of 1022035313 is about 1007.2918046817.

Adding to 1022035313 its reverse (3135302201), we get a palindrome (4157337514).

The spelling of 1022035313 in words is "one billion, twenty-two million, thirty-five thousand, three hundred thirteen".

Divisors: 1 13 29 377 2710969 35242597 78618101 1022035313