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1311351112420 = 225611443774453
BaseRepresentation
bin10011000101010010100…
…111100000001011100100
311122100211022110201011021
4103011102213200023210
5132441121341044140
62442232033220524
7163512334353526
oct23052247401344
94570738421137
101311351112420
11466160574a38
12192194a01744
13968769a73cb
1447680d35a16
15241a071cb4a
hex131529e02e4

1311351112420 has 48 divisors (see below), whose sum is σ = 2799213682608. Its totient is φ = 515898754560.

The previous prime is 1311351112363. The next prime is 1311351112441. The reversal of 1311351112420 is 242111531131.

It can be written as a sum of positive squares in 8 ways, for example, as 332612879076 + 978738233344 = 576726^2 + 989312^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17575914 + ... + 17650366.

It is an arithmetic number, because the mean of its divisors is an integer number (58316951721).

Almost surely, 21311351112420 is an apocalyptic number.

1311351112420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311351112420 is an abundant number, since it is smaller than the sum of its proper divisors (1487862570188).

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

1311351112420 is a wasteful number, since it uses less digits than its factorization.

1311351112420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88960 (or 88958 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

Adding to 1311351112420 its reverse (242111531131), we get a palindrome (1553462643551).

The spelling of 1311351112420 in words is "one trillion, three hundred eleven billion, three hundred fifty-one million, one hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 14437 28874 57748 72185 74453 144370 148906 288740 297812 372265 744530 880657 1489060 1761314 3522628 4403285 4541633 8806570 9083266 17613140 18166532 22708165 45416330 90832660 1074877961 2149755922 4299511844 5374389805 10748779610 21497559220 65567555621 131135111242 262270222484 327837778105 655675556210 1311351112420