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13052261310 = 235111012631489
BaseRepresentation
bin11000010011111100…
…11011001110111110
31020200122010120111120
430021332123032332
5203212334330220
65555055131410
7641306250654
oct141176331676
936618116446
1013052261310
115598730120
122643213b66
13130016c45a
148bb690dd4
15515d26a40
hex309f9b3be

13052261310 has 128 divisors (see below), whose sum is σ = 34666030080. Its totient is φ = 3118848000.

The previous prime is 13052261279. The next prime is 13052261311. The reversal of 13052261310 is 1316225031.

It is a super-2 number, since 2×130522613102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13052261311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8765046 + ... + 8766534.

It is an arithmetic number, because the mean of its divisors is an integer number (270828360).

Almost surely, 213052261310 is an apocalyptic number.

13052261310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13052261310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17333015040).

13052261310 is an abundant number, since it is smaller than the sum of its proper divisors (21613768770).

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

13052261310 is a wasteful number, since it uses less digits than its factorization.

13052261310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874.

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 13052261310 its reverse (1316225031), we get a palindrome (14368486341).

It can be divided in two parts, 1305226 and 1310, that added together give a triangular number (1306536 = T1616).

The spelling of 13052261310 in words is "thirteen billion, fifty-two million, two hundred sixty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 263 303 330 505 526 606 789 1010 1111 1315 1489 1515 1578 2222 2630 2893 2978 3030 3333 3945 4467 5555 5786 6666 7445 7890 8679 8934 11110 14465 14890 16379 16665 17358 22335 26563 28930 32758 33330 43395 44670 49137 53126 79689 81895 86790 98274 132815 150389 159378 163790 245685 265630 292193 300778 391607 398445 451167 491370 584386 751945 783214 796890 876579 902334 1174821 1460965 1503890 1654279 1753158 1958035 2255835 2349642 2921930 3308558 3916070 4307677 4382895 4511670 4962837 5874105 8271395 8615354 8765790 9925674 11748210 12923031 16542790 21538385 24814185 25846062 39552307 43076770 49628370 64615155 79104614 118656921 129230310 197761535 237313842 395523070 435075377 593284605 870150754 1186569210 1305226131 2175376885 2610452262 4350753770 6526130655 13052261310