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213103120131 = 33112365917827
BaseRepresentation
bin1100011001110111101…
…1111000111100000011
3202101001112010011012000
43012131323320330003
511442413344321011
6241522003235043
721252615430266
oct3063573707403
9671045104160
10213103120131
1182416179300
1235373978a83
1317131b878b5
14a458410cdd
155823995356
hex319def8f03

213103120131 has 48 divisors (see below), whose sum is σ = 347132553600. Its totient is φ = 129110865840.

The previous prime is 213103120123. The next prime is 213103120147. The reversal of 213103120131 is 131021301312.

213103120131 is a `hidden beast` number, since 213 + 10 + 312 + 0 + 131 = 666.

It is not a de Polignac number, because 213103120131 - 23 = 213103120123 is a prime.

It is a super-2 number, since 2×2131031201312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213103120121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11945040 + ... + 11962866.

It is an arithmetic number, because the mean of its divisors is an integer number (7231928200).

Almost surely, 2213103120131 is an apocalyptic number.

213103120131 is a deficient number, since it is larger than the sum of its proper divisors (134029433469).

213103120131 is a wasteful number, since it uses less digits than its factorization.

213103120131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21517 (or 21500 counting only the distinct ones).

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

Adding to 213103120131 its reverse (131021301312), we get a palindrome (344124421443).

The spelling of 213103120131 in words is "two hundred thirteen billion, one hundred three million, one hundred twenty thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 121 297 363 1089 3267 3659 10977 17827 32931 40249 53481 98793 120747 160443 196097 362241 442739 481329 588291 1086723 1328217 1764873 2157067 3984651 5294619 6471201 11953953 19413603 58240809 65228993 195686979 587060937 717518923 1761182811 2152556769 6457670307 7892708153 19373010921 23678124459 71034373377 213103120131