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21213560331405 = 32513223346346957
BaseRepresentation
bin1001101001011001010101…
…01110100101110010001101
32210002222220111022211021200
410310230222232211302031
510240030332421101110
6113041213003420113
74316425541443551
oct464545256456215
983088814284250
1021213560331405
116839690852892
1224673b6524639
13bab57908a280
14534a556cd861
1526bc302a76c0
hex134b2aba5c8d

21213560331405 has 96 divisors (see below), whose sum is σ = 39788551735296. Its totient is φ = 10393543060992.

The previous prime is 21213560331389. The next prime is 21213560331427. The reversal of 21213560331405 is 50413306531212.

21213560331405 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 3 + 5 + 603 + 3 + 1 + 40 + 5 = 666.

It is not a de Polignac number, because 21213560331405 - 24 = 21213560331389 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21213560331405.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 451742187 + ... + 451789143.

It is an arithmetic number, because the mean of its divisors is an integer number (414464080576).

Almost surely, 221213560331405 is an apocalyptic number.

It is an amenable number.

21213560331405 is a deficient number, since it is larger than the sum of its proper divisors (18574991403891).

21213560331405 is a wasteful number, since it uses less digits than its factorization.

21213560331405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50667 (or 50664 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 21213560331405 its reverse (50413306531212), we get a palindrome (71626866862617).

The spelling of 21213560331405 in words is "twenty-one trillion, two hundred thirteen billion, five hundred sixty million, three hundred thirty-one thousand, four hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 223 585 669 1115 2007 2899 3345 3463 8697 10035 10389 14495 17315 26091 31167 43485 45019 46957 51945 130455 135057 140871 155835 225095 234785 405171 422613 610441 675285 704355 772249 1831323 2025855 2113065 2316747 3052205 3861245 5493969 6950241 9156615 10039237 10471411 11583735 27469845 30117711 31414233 34751205 50196185 52357055 90353133 94242699 136128343 150588555 157071165 162612091 408385029 451765665 471213495 487836273 680641715 813060455 1225155087 1463508819 2041925145 2113957183 2439181365 6125775435 6341871549 7317544095 10569785915 19025614647 31709357745 36262496293 95128073235 108787488879 181312481465 326362466637 471412451809 543937444395 1414237355427 1631812333185 2357062259045 4242712066281 7071186777135 21213560331405