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1313402014660 = 225232731700549
BaseRepresentation
bin10011000111001100110…
…111000100101111000100
311122120010020121100010111
4103013030313010233010
5133004321403432120
62443211335202404
7163614216631411
oct23071467045704
94576106540114
101313402014660
1146701321916a
12192667816404
1396b12864728
14477d7481108
15242707d775a
hex131ccdc4bc4

1313402014660 has 72 divisors (see below), whose sum is σ = 2922776098200. Its totient is φ = 495634917888.

The previous prime is 1313402014651. The next prime is 1313402014667. The reversal of 1313402014660 is 664102043131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7039881216 + 1306362133444 = 83904^2 + 1142962^2 .

It is a super-2 number, since 2×13134020146602 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1313402014667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77935 + ... + 1622614.

It is an arithmetic number, because the mean of its divisors is an integer number (40594112475).

Almost surely, 21313402014660 is an apocalyptic number.

1313402014660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313402014660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461388049100).

1313402014660 is an abundant number, since it is smaller than the sum of its proper divisors (1609374083540).

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

1313402014660 is a wasteful number, since it uses less digits than its factorization.

1313402014660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700677 (or 1700652 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 1313402014660 its reverse (664102043131), we get a palindrome (1977504057791).

The spelling of 1313402014660 in words is "one trillion, three hundred thirteen billion, four hundred two million, fourteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 73 92 115 146 230 292 365 460 529 730 1058 1460 1679 2116 2645 3358 5290 6716 8395 10580 16790 33580 38617 77234 154468 193085 386170 772340 1700549 3401098 6802196 8502745 17005490 34010980 39112627 78225254 124140077 156450508 195563135 248280154 391126270 496560308 620700385 782252540 899590421 1241400770 1799180842 2482801540 2855221771 3598361684 4497952105 5710443542 8995904210 11420887084 14276108855 17991808420 28552217710 57104435420 65670100733 131340201466 262680402932 328350503665 656701007330 1313402014660