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1313210241 = 32722977801
BaseRepresentation
bin100111001000101…
…1111111110000001
310101112000222210100
41032101133332001
510142140211431
6334150353013
744354050200
oct11621377601
93345028710
101313210241
11614300322
1230795b769
1317c0b1aa5
14c659d237
157a44e4e6
hex4e45ff81

1313210241 has 18 divisors (see below), whose sum is σ = 2206551282. Its totient is φ = 750405600.

The previous prime is 1313210233. The next prime is 1313210263. The reversal of 1313210241 is 1420123131.

It can be written as a sum of positive squares in only one way, i.e., 1310729616 + 2480625 = 36204^2 + 1575^2 .

It is not a de Polignac number, because 1313210241 - 23 = 1313210233 is a prime.

It is a super-2 number, since 2×13132102412 = 3449042274134556162, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1313210281) 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 17 ways as a sum of consecutive naturals, for example, 1488460 + ... + 1489341.

Almost surely, 21313210241 is an apocalyptic number.

It is an amenable number.

1313210241 is a deficient number, since it is larger than the sum of its proper divisors (893341041).

1313210241 is a wasteful number, since it uses less digits than its factorization.

1313210241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977821 (or 2977811 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1313210241 is about 36238.2427968024. The cubic root of 1313210241 is about 1095.0772423149.

Adding to 1313210241 its reverse (1420123131), we get a palindrome (2733333372).

The spelling of 1313210241 in words is "one billion, three hundred thirteen million, two hundred ten thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 2977801 8933403 20844607 26800209 62533821 145912249 187601463 437736747 1313210241