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213101133133 = 7241106073237
BaseRepresentation
bin1100011001110111010…
…0010011110101001101
3202101001101101012112111
43012131310103311031
511442412342230013
6241521452504021
721252562513300
oct3063564236515
9671041335474
10213101133133
1182415041459
123537317b011
1317131640365
14a458054b37
15582370173d
hex319dd13d4d

213101133133 has 12 divisors (see below), whose sum is σ = 253939331772. Its totient is φ = 178203036480.

The previous prime is 213101133127. The next prime is 213101133137. The reversal of 213101133133 is 331331101312.

It can be written as a sum of positive squares in 2 ways, for example, as 119316358084 + 93784775049 = 345422^2 + 306243^2 .

It is not a de Polignac number, because 213101133133 - 213 = 213101124941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213101133137) 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, 53034610 + ... + 53038627.

It is an arithmetic number, because the mean of its divisors is an integer number (21161610981).

Almost surely, 2213101133133 is an apocalyptic number.

It is an amenable number.

213101133133 is a deficient number, since it is larger than the sum of its proper divisors (40838198639).

213101133133 is a wasteful number, since it uses less digits than its factorization.

213101133133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106073292 (or 106073285 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 213101133133 its reverse (331331101312), we get a palindrome (544432234445).

The spelling of 213101133133 in words is "two hundred thirteen billion, one hundred one million, one hundred thirty-three thousand, one hundred thirty-three".

Divisors: 1 7 41 49 287 2009 106073237 742512659 4349002717 5197588613 30443019019 213101133133