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213481856665 = 57211223213613
BaseRepresentation
bin1100011011010010000…
…0101001111010011001
3202102000220202222001001
43012310200221322121
511444202323403130
6242023333025001
721265164561400
oct3066440517231
9672026688031
10213481856665
118259aa40700
123545a785161
131719249295c
14a49283c637
155846d586ca
hex31b4829e99

213481856665 has 108 divisors (see below), whose sum is σ = 342443261412. Its totient is φ = 127284178560.

The previous prime is 213481856597. The next prime is 213481856669. The reversal of 213481856665 is 566658184312.

It can be written as a sum of positive squares in 2 ways, for example, as 22130727696 + 191351128969 = 148764^2 + 437437^2 .

It is not a de Polignac number, because 213481856665 - 29 = 213481856153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (213481856669) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 15675399 + ... + 15689011.

It is an arithmetic number, because the mean of its divisors is an integer number (3170770939).

Almost surely, 2213481856665 is an apocalyptic number.

It is an amenable number.

213481856665 is a deficient number, since it is larger than the sum of its proper divisors (128961404747).

213481856665 is a wasteful number, since it uses less digits than its factorization.

213481856665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13700 (or 13659 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 55.

The spelling of 213481856665 in words is "two hundred thirteen billion, four hundred eighty-one million, eight hundred fifty-six thousand, six hundred sixty-five".

Divisors: 1 5 7 11 23 35 49 55 77 115 121 161 245 253 385 529 539 605 805 847 1127 1265 1771 2645 2695 2783 3703 4235 5635 5819 5929 8855 12397 13613 13915 18515 19481 25921 29095 29645 40733 61985 64009 68065 95291 97405 129605 136367 149743 203665 285131 313099 320045 448063 476455 667037 681835 748715 1048201 1425655 1565495 1647173 2191693 2240315 3136441 3335185 3444089 5241005 7201277 7337407 8235865 10958465 11530211 15341851 15682205 17220445 24108623 36006385 36687035 37884979 50408939 57651055 76709255 79214047 80711477 120543115 168760361 189424895 252044695 265194853 352862573 396070235 403557385 554498329 843801805 871354517 1325974265 1764312865 1856363971 2772491645 3881488303 4356772585 6099481619 9281819855 19407441515 30497408095 42696371333 213481856665