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1034101313 = 71719145497
BaseRepresentation
bin111101101000110…
…010001001000001
32200001211210022122
4331220302021001
54104212220223
6250340214025
734424500430
oct7550621101
92601753278
101034101313
114907a5693
1224a39a315
13136319b8b
149b4a7117
1560bba5c8
hex3da32241

1034101313 has 16 divisors (see below), whose sum is σ = 1257928704. Its totient is φ = 829847040.

The previous prime is 1034101301. The next prime is 1034101333. The reversal of 1034101313 is 3131014301.

It is a cyclic number.

It is not a de Polignac number, because 1034101313 - 226 = 966992449 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1034101291 and 1034101300.

It is not an unprimeable number, because it can be changed into a prime (1034101333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20 + ... + 45477.

It is an arithmetic number, because the mean of its divisors is an integer number (78620544).

Almost surely, 21034101313 is an apocalyptic number.

It is an amenable number.

1034101313 is a deficient number, since it is larger than the sum of its proper divisors (223827391).

1034101313 is a wasteful number, since it uses less digits than its factorization.

1034101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45712.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1034101313 is about 32157.4456852530. The cubic root of 1034101313 is about 1011.2402869026.

Adding to 1034101313 its reverse (3131014301), we get a palindrome (4165115614).

The spelling of 1034101313 in words is "one billion, thirty-four million, one hundred one thousand, three hundred thirteen".

Divisors: 1 7 17 119 191 1337 3247 22729 45497 318479 773449 5414143 8689927 60829489 147728759 1034101313