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1311441011145 = 325671134578423
BaseRepresentation
bin10011000101010111111…
…110011100000111001001
311122101001120122001000200
4103011113332130013021
5132441312344324040
62442245004122413
7163514505445116
oct23052776340711
94571046561020
101311441011145
114661a7297201
121921bab36409
139688c4c2215
144768cc5790d
15241a8579630
hex13157f9c1c9

1311441011145 has 96 divisors (see below), whose sum is σ = 2332878941952. Its totient is φ = 681323360256.

The previous prime is 1311441011143. The next prime is 1311441011183. The reversal of 1311441011145 is 5411101441131.

1311441011145 is a `hidden beast` number, since 131 + 1 + 4 + 410 + 1 + 114 + 5 = 666.

It is not a de Polignac number, because 1311441011145 - 21 = 1311441011143 is a prime.

It is a super-2 number, since 2×13114410111452 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1311441011143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155693404 + ... + 155701826.

It is an arithmetic number, because the mean of its divisors is an integer number (24300822312).

Almost surely, 21311441011145 is an apocalyptic number.

1311441011145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1311441011145 is a deficient number, since it is larger than the sum of its proper divisors (1021437930807).

1311441011145 is a wasteful number, since it uses less digits than its factorization.

1311441011145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9071 (or 9068 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 1311441011145 its reverse (5411101441131), we get a palindrome (6722542452276).

The spelling of 1311441011145 in words is "one trillion, three hundred eleven billion, four hundred forty-one million, eleven thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 67 113 201 335 339 457 565 603 1005 1017 1371 1695 2285 3015 4113 5085 6855 7571 8423 20565 22713 25269 30619 37855 42115 51641 68139 75807 91857 113565 126345 153095 154923 258205 275571 340695 379035 459285 464769 564341 774615 951799 1377855 1693023 2323845 2821705 2855397 3459947 3849311 4758995 5079069 8465115 8566191 10379841 11547933 14276985 17299735 19246555 25395345 31139523 34643799 42830955 51899205 57739665 63770533 155697615 173218995 191311599 257903837 318852665 434972143 573934797 773711511 956557995 1289519185 1304916429 2174860715 2321134533 2869673985 3868557555 3914749287 6524582145 11605672665 19573746435 29143133581 87429400743 145715667905 262288202229 437147003715 1311441011145