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120131310213 = 32101132157657
BaseRepresentation
bin110111111100001100…
…0100101001010000101
3102111002011020212020200
41233320120211022011
53432012103411323
6131104302521113
711451652201005
oct1577030451205
9374064225220
10120131310213
1146a46aa1462
121b347896199
13b436471315
145b58968005
1531d1792443
hex1bf8625285

120131310213 has 12 divisors (see below), whose sum is σ = 175241054508. Its totient is φ = 79294593600.

The previous prime is 120131310163. The next prime is 120131310259. The reversal of 120131310213 is 312013131021.

120131310213 is a `hidden beast` number, since 12 + 0 + 131 + 310 + 213 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 115927992324 + 4203317889 = 340482^2 + 64833^2 .

It is not a de Polignac number, because 120131310213 - 225 = 120097755781 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120131310113) 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, 66077920 + ... + 66079737.

It is an arithmetic number, because the mean of its divisors is an integer number (14603421209).

Almost surely, 2120131310213 is an apocalyptic number.

It is an amenable number.

120131310213 is a deficient number, since it is larger than the sum of its proper divisors (55109744295).

120131310213 is a wasteful number, since it uses less digits than its factorization.

120131310213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132157764 (or 132157761 counting only the distinct ones).

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

Adding to 120131310213 its reverse (312013131021), we get a palindrome (432144441234).

It can be divided in two parts, 12013131021 and 3, that multiplied together give a palindrome (36039393063).

The spelling of 120131310213 in words is "one hundred twenty billion, one hundred thirty-one million, three hundred ten thousand, two hundred thirteen".

Divisors: 1 3 9 101 303 909 132157657 396472971 1189418913 13347923357 40043770071 120131310213