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213145140313 = 7538919133797
BaseRepresentation
bin1100011010000001110…
…0001011110001011001
3202101011110012000001001
43012200130023301121
511443010123442223
6241530104025001
721253635541150
oct3064034136131
9671143160031
10213145140313
1182437969726
1235385a62161
131713a7aab01
14a45dc2c597
1558274e59ad
hex31a070bc59

213145140313 has 32 divisors (see below), whose sum is σ = 252300718080. Its totient is φ = 176301565440.

The previous prime is 213145140277. The next prime is 213145140407. The reversal of 213145140313 is 313041541312.

It is not a de Polignac number, because 213145140313 - 217 = 213145009241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213145140113) 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 31 ways as a sum of consecutive naturals, for example, 6289731 + ... + 6323527.

It is an arithmetic number, because the mean of its divisors is an integer number (7884397440).

Almost surely, 2213145140313 is an apocalyptic number.

It is an amenable number.

213145140313 is a deficient number, since it is larger than the sum of its proper divisors (39155577767).

213145140313 is a wasteful number, since it uses less digits than its factorization.

213145140313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34137.

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 213145140313 its reverse (313041541312), we get a palindrome (526186681625).

The spelling of 213145140313 in words is "two hundred thirteen billion, one hundred forty-five million, one hundred forty thousand, three hundred thirteen".

Divisors: 1 7 53 89 191 371 623 1337 4717 10123 16999 33019 33797 70861 118993 236579 900947 1791241 3007933 6306629 6455227 12538687 21055531 45186589 159420449 342127031 574515203 1115943143 2394889217 4021606421 30449305759 213145140313