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13002302022021 = 32131727149948341
BaseRepresentation
bin1011110100110101010110…
…0101111110000110000101
31201001000012210011100211100
42331031111211332012011
53201012203304201041
643353101452530313
72511246110434014
oct275152545760605
951030183140740
1013002302022021
114163277581a34
12155bb24780999
1373415b88aa20
1432d459a5ca7b
151783468076b6
hexbd35597e185

13002302022021 has 96 divisors (see below), whose sum is σ = 21538101312000. Its totient is φ = 7487765452800.

The previous prime is 13002302021977. The next prime is 13002302022041. The reversal of 13002302022021 is 12022020320031.

13002302022021 is a `hidden beast` number, since 1 + 30 + 0 + 230 + 202 + 202 + 1 = 666.

It is not a de Polignac number, because 13002302022021 - 27 = 13002302021893 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13002302021985 and 13002302022003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002302022041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 268946311 + ... + 268994651.

It is an arithmetic number, because the mean of its divisors is an integer number (224355222000).

Almost surely, 213002302022021 is an apocalyptic number.

It is an amenable number.

13002302022021 is a deficient number, since it is larger than the sum of its proper divisors (8535799289979).

13002302022021 is a wasteful number, since it uses less digits than its factorization.

13002302022021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49147 (or 49144 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13002302022021 its reverse (12022020320031), we get a palindrome (25024322342052).

The spelling of 13002302022021 in words is "thirteen trillion, two billion, three hundred two million, twenty-two thousand, twenty-one".

Divisors: 1 3 9 13 17 39 51 117 153 221 271 499 663 813 1497 1989 2439 3523 4491 4607 6487 8483 10569 13821 19461 25449 31707 41463 48341 58383 59891 76347 110279 135229 145023 179673 330837 405687 435069 539019 628433 821797 992511 1217061 1757977 1885299 2298893 2465391 5273931 5655897 6896679 7396173 10683361 13100411 15821793 20690037 24122159 29885609 32050083 39301233 72366477 89656827 96150249 117903699 170305343 217099431 222706987 268970481 313588067 410076703 510916029 668120961 940764201 1230230109 1532748087 2004362883 2822292603 2895190831 3690690327 5330997139 6537105089 8685572493 15992991417 19611315267 26056717479 47978974251 58833945801 84982366157 111130786513 254947098471 333392359539 764841295413 1000177078617 1444700224669 4334100674007 13002302022021