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1311003323118 = 233293127005383
BaseRepresentation
bin10011000100111101111…
…000110010101011101110
311122022221002001011221000
4103010331320302223232
5132434413322314433
62442133331021130
7163500612244536
oct23047570625356
94568832034830
101311003323118
11465aa221a765
121920b843a7a6
139681c916518
144764aa824c6
152417ee1e113
hex1313de32aee

1311003323118 has 64 divisors (see below), whose sum is σ = 3111020236800. Its totient is φ = 408321375840.

The previous prime is 1311003323117. The next prime is 1311003323137. The reversal of 1311003323118 is 8113233001131.

It is a happy number.

1311003323118 is a `hidden beast` number, since 1 + 3 + 1 + 10 + 0 + 332 + 311 + 8 = 666.

It is a super-2 number, since 2×13110033231182 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1311003323091 and 1311003323100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311003323117) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13454146 + ... + 13551237.

It is an arithmetic number, because the mean of its divisors is an integer number (48609691200).

Almost surely, 21311003323118 is an apocalyptic number.

1311003323118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1311003323118 is an abundant number, since it is smaller than the sum of its proper divisors (1800016913682).

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

1311003323118 is a wasteful number, since it uses less digits than its factorization.

1311003323118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27005454 (or 27005448 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 1311003323118 its reverse (8113233001131), we get a palindrome (9424236324249).

The spelling of 1311003323118 in words is "one trillion, three hundred eleven billion, three million, three hundred twenty-three thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 18 27 29 31 54 58 62 87 93 174 186 261 279 522 558 783 837 899 1566 1674 1798 2697 5394 8091 16182 24273 48546 27005383 54010766 81016149 162032298 243048447 486096894 729145341 783156107 837166873 1458290682 1566312214 1674333746 2349468321 2511500619 4698936642 5023001238 7048404963 7534501857 14096809926 15069003714 21145214889 22603505571 24277839317 42290429778 45207011142 48555678634 72833517951 145667035902 218500553853 437001107706 655501661559 1311003323118