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1311432311410 = 251331210497337
BaseRepresentation
bin10011000101010111011…
…101010000001001110010
311122101000222021001020021
4103011113131100021302
5132441303132431120
62442244053434054
7163514341502344
oct23052735201162
94571028231207
101311432311410
114661a2394a41
121921b803b92a
139688a767450
144768ba31294
15241a790baaa
hex13157750272

1311432311410 has 48 divisors (see below), whose sum is σ = 2626811871768. Its totient is φ = 468601079040.

The previous prime is 1311432311393. The next prime is 1311432311429. The reversal of 1311432311410 is 141132341131.

It can be written as a sum of positive squares in 4 ways, for example, as 846604252321 + 464828059089 = 920111^2 + 681783^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5123739 + ... + 5373598.

Almost surely, 21311432311410 is an apocalyptic number.

1311432311410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1311432311410 is an abundant number, since it is smaller than the sum of its proper divisors (1315379560358).

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

1311432311410 is a wasteful number, since it uses less digits than its factorization.

1311432311410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10497419 (or 10497388 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 1311432311410 its reverse (141132341131), we get a palindrome (1452564652541).

The spelling of 1311432311410 in words is "one trillion, three hundred eleven billion, four hundred thirty-two million, three hundred eleven thousand, four hundred ten".

Divisors: 1 2 5 10 13 26 31 62 65 130 155 310 403 806 961 1922 2015 4030 4805 9610 12493 24986 62465 124930 10497337 20994674 52486685 104973370 136465381 272930762 325417447 650834894 682326905 1364653810 1627087235 3254174470 4230426811 8460853622 10087940857 20175881714 21152134055 42304268110 50439704285 100879408570 131143231141 262286462282 655716155705 1311432311410