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131123311011 = 32721127030161
BaseRepresentation
bin111101000011110001…
…1101111000110100011
3110112110012122100122100
41322013203233012203
54122020031423021
6140123123341443
712321233516400
oct1720743570643
9415405570570
10131123311011
1150677766340
12214b4b21883
13c4988279c4
1464bc7552a7
1536267a1626
hex1e878ef1a3

131123311011 has 36 divisors (see below), whose sum is σ = 240352200504. Its totient is φ = 68116003200.

The previous prime is 131123311003. The next prime is 131123311049. The reversal of 131123311011 is 110113321131.

131123311011 is a `hidden beast` number, since 1 + 311 + 2 + 331 + 10 + 11 = 666.

It is not a de Polignac number, because 131123311011 - 23 = 131123311003 is a prime.

It is a super-3 number, since 3×1311233110113 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (131123311091) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13510230 + ... + 13519931.

It is an arithmetic number, because the mean of its divisors is an integer number (6676450014).

Almost surely, 2131123311011 is an apocalyptic number.

131123311011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131123311011 is a deficient number, since it is larger than the sum of its proper divisors (109228889493).

131123311011 is a wasteful number, since it uses less digits than its factorization.

131123311011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27030192 (or 27030182 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 131123311011 its reverse (110113321131), we get a palindrome (241236632142).

The spelling of 131123311011 in words is "one hundred thirty-one billion, one hundred twenty-three million, three hundred eleven thousand, eleven".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 441 539 693 1617 4851 27030161 81090483 189211127 243271449 297331771 567633381 891995313 1324477889 1702900143 2081322397 2675985939 3973433667 6243967191 11920301001 14569256779 18731901573 43707770337 131123311011