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1310223005 = 572131014073
BaseRepresentation
bin100111000011000…
…0110101010011101
310101022102020001222
41032012012222131
510140404114010
6334002343125
744316466100
oct11606065235
93338366058
101310223005
1161264aa33
1230695aaa5
1317b5a71b0
14c6022737
157a05e355
hex4e186a9d

1310223005 has 48 divisors (see below), whose sum is σ = 1989643824. Its totient is φ = 820915200.

The previous prime is 1310223001. The next prime is 1310223011. The reversal of 1310223005 is 5003220131.

It can be written as a sum of positive squares in 8 ways, for example, as 51179716 + 1259043289 = 7154^2 + 35483^2 .

It is not a de Polignac number, because 1310223005 - 22 = 1310223001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310223001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319649 + ... + 323721.

It is an arithmetic number, because the mean of its divisors is an integer number (41450913).

Almost surely, 21310223005 is an apocalyptic number.

It is an amenable number.

1310223005 is a deficient number, since it is larger than the sum of its proper divisors (679420819).

1310223005 is a wasteful number, since it uses less digits than its factorization.

1310223005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4206 (or 4199 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 1310223005 is about 36197.0027074066. The cubic root of 1310223005 is about 1094.2462665286.

Adding to 1310223005 its reverse (5003220131), we get a palindrome (6313443136).

The spelling of 1310223005 in words is "one billion, three hundred ten million, two hundred twenty-three thousand, five".

Divisors: 1 5 7 13 35 49 65 91 101 245 455 505 637 707 1313 3185 3535 4073 4949 6565 9191 20365 24745 28511 45955 52949 64337 142555 199577 264745 321685 370643 411373 997885 1853215 2056865 2594501 2879611 5347849 12972505 14398055 20157277 26739245 37434943 100786385 187174715 262044601 1310223005