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1310145304 = 2313194714107
BaseRepresentation
bin100111000010111…
…0011101100011000
310101022021021111011
41032011303230120
510140344122204
6334000543304
744316023416
oct11605635430
93338237434
101310145304
116125a7616
12306921b34
1317b57aa10
14c60022b6
157a046304
hex4e173b18

1310145304 has 64 divisors (see below), whose sum is σ = 2844172800. Its totient is φ = 560628864.

The previous prime is 1310145301. The next prime is 1310145337. The reversal of 1310145304 is 4035410131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310145301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85819 + ... + 99925.

It is an arithmetic number, because the mean of its divisors is an integer number (44440200).

Almost surely, 21310145304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310145304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422086400).

1310145304 is an abundant number, since it is smaller than the sum of its proper divisors (1534027496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1310145304 is a wasteful number, since it uses less digits than its factorization.

1310145304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14192 (or 14188 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1310145304 is about 36195.9293843935. The cubic root of 1310145304 is about 1094.2246351702.

Adding to 1310145304 its reverse (4035410131), we get a palindrome (5345555435).

The spelling of 1310145304 in words is "one billion, three hundred ten million, one hundred forty-five thousand, three hundred four".

Divisors: 1 2 4 8 13 19 26 38 47 52 76 94 104 152 188 247 376 494 611 893 988 1222 1786 1976 2444 3572 4888 7144 11609 14107 23218 28214 46436 56428 92872 112856 183391 268033 366782 536066 663029 733564 1072132 1326058 1467128 2144264 2652116 3484429 5304232 6968858 8619377 12597551 13937716 17238754 25195102 27875432 34477508 50390204 68955016 100780408 163768163 327536326 655072652 1310145304