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131310203211 = 32112734613583
BaseRepresentation
bin111101001001010110…
…0101011000101001011
3110112221020022110112200
41322102230223011023
54122410403000321
6140153441211243
712325663211535
oct1722254530513
9415836273480
10131310203211
1150763206200
1221547630b23
13c4c84729c5
1464d94c4855
153637dbbd26
hex1e92b2b14b

131310203211 has 72 divisors (see below), whose sum is σ = 211854010368. Its totient is φ = 78299654400.

The previous prime is 131310203179. The next prime is 131310203231. The reversal of 131310203211 is 112302013131.

131310203211 is a `hidden beast` number, since 1 + 31 + 310 + 2 + 0 + 321 + 1 = 666.

It is not a de Polignac number, because 131310203211 - 25 = 131310203179 is a prime.

It is a super-2 number, since 2×1313102032112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131310203231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36646326 + ... + 36649908.

Almost surely, 2131310203211 is an apocalyptic number.

131310203211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131310203211 is a deficient number, since it is larger than the sum of its proper divisors (80543807157).

131310203211 is a wasteful number, since it uses less digits than its factorization.

131310203211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4145 (or 4131 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131310203211 its reverse (112302013131), we get a palindrome (243612216342).

The spelling of 131310203211 in words is "one hundred thirty-one billion, three hundred ten million, two hundred three thousand, two hundred eleven".

Divisors: 1 3 9 11 33 73 99 121 219 363 461 657 803 1089 1383 2409 3583 4149 5071 7227 8833 10749 15213 26499 32247 33653 39413 45639 55781 79497 100959 118239 167343 261559 302877 354717 370183 433543 502029 784677 1110549 1300629 1651763 2354031 2877149 3331647 3901887 4072013 4955289 8631447 12216039 14865867 18169393 25894341 31648639 36648117 54508179 94945917 120578699 163524537 199863323 284837751 361736097 599589969 1085208291 1326365689 1798769907 3979097067 11937291201 14590022579 43770067737 131310203211