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213131231109 = 321011123208787
BaseRepresentation
bin1100011001111110011…
…1000111111110000101
3202101010111000100012100
43012133213013332011
511442443043343414
6241524445542313
721253406400426
oct3063747077605
9671114010170
10213131231109
1182430029515
1235381274999
131713794ab04
14a45c04b64d
155826199609
hex319f9c7f85

213131231109 has 24 divisors (see below), whose sum is σ = 311182646112. Its totient is φ = 140554735200.

The previous prime is 213131231107. The next prime is 213131231111. The reversal of 213131231109 is 901132131312.

213131231109 is a `hidden beast` number, since 2 + 1 + 31 + 312 + 311 + 0 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (213131231107) and next prime (213131231111).

It is not a de Polignac number, because 213131231109 - 21 = 213131231107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213131231107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 916414 + ... + 1125200.

It is an arithmetic number, because the mean of its divisors is an integer number (12965943588).

Almost surely, 2213131231109 is an apocalyptic number.

It is an amenable number.

213131231109 is a deficient number, since it is larger than the sum of its proper divisors (98051415003).

213131231109 is a wasteful number, since it uses less digits than its factorization.

213131231109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210017 (or 210014 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 213131231109 in words is "two hundred thirteen billion, one hundred thirty-one million, two hundred thirty-one thousand, one hundred nine".

Divisors: 1 3 9 101 303 909 1123 3369 10107 113423 208787 340269 626361 1020807 1879083 21087487 63262461 189787383 234467801 703403403 2110210209 23681247901 71043743703 213131231109