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21323013303213 = 3217537481351497
BaseRepresentation
bin1001101100100101001101…
…01000100010101110101101
32210111110102110101220001100
410312102212220202232231
510243324012401200323
6113203353532433313
74330352101400616
oct466224650425655
983443373356040
1021323013303213
116881048135586
122484662018839
13bb89a014754b
1453a079d98c0d
1526e9d9347943
hex1364a6a22bad

21323013303213 has 48 divisors (see below), whose sum is σ = 33231517942896. Its totient is φ = 13124916879360.

The previous prime is 21323013303211. The next prime is 21323013303259. The reversal of 21323013303213 is 31230331032312.

21323013303213 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 3 + 0 + 1 + 330 + 321 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2149150136004 + 19173863167209 = 1465998^2 + 4378797^2 .

It is not a de Polignac number, because 21323013303213 - 21 = 21323013303211 is a prime.

It is a super-2 number, since 2×213230133032132 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21323013303211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60487681 + ... + 60839177.

It is an arithmetic number, because the mean of its divisors is an integer number (692323290477).

Almost surely, 221323013303213 is an apocalyptic number.

It is an amenable number.

21323013303213 is a deficient number, since it is larger than the sum of its proper divisors (11908504639683).

21323013303213 is a wasteful number, since it uses less digits than its factorization.

21323013303213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359054 (or 359051 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 21323013303213 its reverse (31230331032312), we get a palindrome (52553344335525).

The spelling of 21323013303213 in words is "twenty-one trillion, three hundred twenty-three billion, thirteen million, three hundred three thousand, two hundred thirteen".

Divisors: 1 3 9 17 51 53 153 159 477 901 2703 7481 8109 22443 67329 127177 351497 381531 396493 1054491 1144593 1189479 3163473 3568437 5975449 6740381 17926347 18629341 20221143 53779041 55888023 60663429 167664069 316698797 950096391 2629549057 2850289173 7888647171 23665941513 44702333969 134107001907 139366100021 402321005721 418098300063 1254294900189 2369223700357 7107671101071 21323013303213