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1201007313 = 321117713611
BaseRepresentation
bin100011110010101…
…1110101011010001
310002200220111022100
41013211132223101
54424424213223
6315101431013
741522252022
oct10745365321
93080814270
101201007313
11566a34630
1229626b469
13161a87b1c
14b5712c49
1570689043
hex4795ead1

1201007313 has 24 divisors (see below), whose sum is σ = 2003822496. Its totient is φ = 685065600.

The previous prime is 1201007303. The next prime is 1201007317. The reversal of 1201007313 is 3137001021.

It is not a de Polignac number, because 1201007313 - 212 = 1201003217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1201007317) 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 23 ways as a sum of consecutive naturals, for example, 355123 + ... + 358488.

It is an arithmetic number, because the mean of its divisors is an integer number (83492604).

Almost surely, 21201007313 is an apocalyptic number.

It is an amenable number.

1201007313 is a deficient number, since it is larger than the sum of its proper divisors (802815183).

1201007313 is a wasteful number, since it uses less digits than its factorization.

1201007313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713645 (or 713642 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 1201007313 is about 34655.5524122759. The cubic root of 1201007313 is about 1062.9558276312.

Adding to 1201007313 its reverse (3137001021), we get a palindrome (4338008334).

The spelling of 1201007313 in words is "one billion, two hundred one million, seven thousand, three hundred thirteen".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 713611 2140833 6422499 7849721 12131387 23549163 36394161 70647489 109182483 133445257 400335771 1201007313