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131322012012 = 223217214578451
BaseRepresentation
bin111101001001101100…
…1101110000101101100
3110112222001112102011200
41322103121232011230
54122421413341022
6140154542245500
712326165453532
oct1722331560554
9415861472150
10131322012012
1150769941344
122154b586890
13c4caa48969
1464dacba152
153638e50bac
hex1e9366e16c

131322012012 has 36 divisors (see below), whose sum is σ = 351479504376. Its totient is φ = 41199062400.

The previous prime is 131322012011. The next prime is 131322012067. The reversal of 131322012012 is 210210223131.

131322012012 is a `hidden beast` number, since 1 + 313 + 220 + 120 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131322012011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107288614 + ... + 107289837.

It is an arithmetic number, because the mean of its divisors is an integer number (9763319566).

Almost surely, 2131322012012 is an apocalyptic number.

131322012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131322012012 is an abundant number, since it is smaller than the sum of its proper divisors (220157492364).

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

131322012012 is a wasteful number, since it uses less digits than its factorization.

131322012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214578478 (or 214578473 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131322012012 its reverse (210210223131), we get a palindrome (341532235143).

The spelling of 131322012012 in words is "one hundred thirty-one billion, three hundred twenty-two million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 214578451 429156902 643735353 858313804 1287470706 1931206059 2574941412 3647833667 3862412118 7295667334 7724824236 10943501001 14591334668 21887002002 32830503003 43774004004 65661006006 131322012012