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131011202212011 = 3411179821443499
BaseRepresentation
bin11101110010011101101100…
…001010110110000010101011
3122011212112210221101001020000
4131302131230022312002223
5114132441420231241021
61142345414310434043
736411150502532652
oct3562355412660253
9564775727331200
10131011202212011
11388205a2214880
121283aa22662923
1358143c3628434
14244cd942b2199
151022d7e4e3b26
hex77276c2b60ab

131011202212011 has 40 divisors (see below), whose sum is σ = 214692473160000. Its totient is φ = 78957149027760.

The previous prime is 131011202211973. The next prime is 131011202212043. The reversal of 131011202212011 is 110212202110131.

It is a happy number.

131011202212011 is a `hidden beast` number, since 1 + 310 + 1 + 120 + 221 + 2 + 0 + 11 = 666.

It is not a de Polignac number, because 131011202212011 - 215 = 131011202179243 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131011202212811) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 410562261 + ... + 410881238.

It is an arithmetic number, because the mean of its divisors is an integer number (5367311829000).

Almost surely, 2131011202212011 is an apocalyptic number.

131011202212011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131011202212011 is a deficient number, since it is larger than the sum of its proper divisors (83681270947989).

131011202212011 is a wasteful number, since it uses less digits than its factorization.

131011202212011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821443701 (or 821443692 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 131011202212011 its reverse (110212202110131), we get a palindrome (241223404322142).

The spelling of 131011202212011 in words is "one hundred thirty-one trillion, eleven billion, two hundred two million, two hundred twelve thousand, eleven".

Divisors: 1 3 9 11 27 33 81 99 179 297 537 891 1611 1969 4833 5907 14499 17721 53163 159489 821443499 2464330497 7392991491 9035878489 22178974473 27107635467 66536923419 81322906401 147038386321 243968719203 441115158963 731906157609 1323345476889 1617422249531 3970036430667 4852266748593 11910109292001 14556800245779 43670400737337 131011202212011