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120320122131 = 32111771491457
BaseRepresentation
bin111000000001110100…
…0110101110100010011
3102111120022112111111200
41300003220311310103
53432403422402011
6131135125442243
711456434110036
oct1600350656423
9374508474450
10120320122131
1147033632670
121b39ab70383
13b46660c051
145b75a7701d
1531e313b856
hex1c03a35d13

120320122131 has 24 divisors (see below), whose sum is σ = 200748014064. Its totient is φ = 68631797760.

The previous prime is 120320122127. The next prime is 120320122177. The reversal of 120320122131 is 131221023021.

120320122131 is a `hidden beast` number, since 120 + 320 + 1 + 221 + 3 + 1 = 666.

It is not a de Polignac number, because 120320122131 - 22 = 120320122127 is a prime.

It is a super-2 number, since 2×1203201221312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120320120131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35744046 + ... + 35747411.

It is an arithmetic number, because the mean of its divisors is an integer number (8364500586).

Almost surely, 2120320122131 is an apocalyptic number.

120320122131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120320122131 is a deficient number, since it is larger than the sum of its proper divisors (80427891933).

120320122131 is a wasteful number, since it uses less digits than its factorization.

120320122131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71491491 (or 71491488 counting only the distinct ones).

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

Adding to 120320122131 its reverse (131221023021), we get a palindrome (251541145152).

The spelling of 120320122131 in words is "one hundred twenty billion, three hundred twenty million, one hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 71491457 214474371 643423113 786406027 1215354769 2359218081 3646064307 7077654243 10938192921 13368902459 40106707377 120320122131