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1311441012310 = 251113270545509
BaseRepresentation
bin10011000101010111111…
…110011100011001010110
311122101001120122002121211
4103011113332130121112
5132441312344343220
62442245004132034
7163514505451402
oct23052776343126
94571046562554
101311441012310
114661a7298070
121921bab3701a
139688c4c2900
144768cc58102
15241a8579b5a
hex13157f9c656

1311441012310 has 48 divisors (see below), whose sum is σ = 2788522919280. Its totient is φ = 440203969920.

The previous prime is 1311441012187. The next prime is 1311441012377. The reversal of 1311441012310 is 132101441131.

It is a super-2 number, since 2×13114410123102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35254165 + ... + 35291344.

It is an arithmetic number, because the mean of its divisors is an integer number (58094227485).

Almost surely, 21311441012310 is an apocalyptic number.

1311441012310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1311441012310 is an abundant number, since it is smaller than the sum of its proper divisors (1477081906970).

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

1311441012310 is a wasteful number, since it uses less digits than its factorization.

1311441012310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70545553 (or 70545540 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 1311441012310 its reverse (132101441131), we get a palindrome (1443542453441).

The spelling of 1311441012310 in words is "one trillion, three hundred eleven billion, four hundred forty-one million, twelve thousand, three hundred ten".

Divisors: 1 2 5 10 11 13 22 26 55 65 110 130 143 169 286 338 715 845 1430 1690 1859 3718 9295 18590 70545509 141091018 352727545 705455090 776000599 917091617 1552001198 1834183234 3880002995 4585458085 7760005990 9170916170 10088007787 11922191021 20176015574 23844382042 50440038935 59610955105 100880077870 119221910210 131144101231 262288202462 655720506155 1311441012310