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131203211121 = 32377128319609
BaseRepresentation
bin111101000110001010…
…0100001111101110001
3110112122202222200222200
41322030110201331301
54122201010223441
6140135100053413
712323223615333
oct1721424417561
9415582880880
10131203211121
1150708879494
1221517834269
13c4ac251788
1464c91d3453
15362d7d57b6
hex1e8c521f71

131203211121 has 48 divisors (see below), whose sum is σ = 198086728320. Its totient is φ = 83605374720.

The previous prime is 131203211077. The next prime is 131203211141. The reversal of 131203211121 is 121112302131.

131203211121 is a `hidden beast` number, since 1 + 312 + 0 + 321 + 11 + 21 = 666.

It is not a de Polignac number, because 131203211121 - 29 = 131203210609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131203211094 and 131203211103.

It is not an unprimeable number, because it can be changed into a prime (131203211141) 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 47 ways as a sum of consecutive naturals, for example, 6681165 + ... + 6700773.

It is an arithmetic number, because the mean of its divisors is an integer number (4126806840).

Almost surely, 2131203211121 is an apocalyptic number.

It is an amenable number.

131203211121 is a deficient number, since it is larger than the sum of its proper divisors (66883517199).

131203211121 is a wasteful number, since it uses less digits than its factorization.

131203211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20006 (or 20003 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131203211121 its reverse (121112302131), we get a palindrome (252315513252).

The spelling of 131203211121 in words is "one hundred thirty-one billion, two hundred three million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 37 71 111 213 283 333 639 849 2547 2627 7881 10471 19609 20093 23643 31413 58827 60279 94239 176481 180837 725533 743441 1392239 2176599 2230323 4176717 5549347 6529797 6690969 12530151 16648041 49944123 51512843 154538529 205325839 394003637 463615587 615977517 1182010911 1847932551 3546032733 14578134569 43734403707 131203211121