Search a number
-
+
21023010300213 = 3319727392914347
BaseRepresentation
bin1001100011110110011010…
…00011111010000100110101
32202102210001201211021222000
410301323031003322010311
510223420111114101323
6112413500531125513
74266601536060165
oct461731503720465
982383051737860
1021023010300213
116775899278069
122436497743899
13b965cc806b1c
1452973a6b45a5
15266ccb793e43
hex131ecd0fa135

21023010300213 has 64 divisors (see below), whose sum is σ = 32840161536000. Its totient is φ = 13255128323712.

The previous prime is 21023010300181. The next prime is 21023010300239. The reversal of 21023010300213 is 31200301032012.

21023010300213 is a `hidden beast` number, since 210 + 230 + 10 + 3 + 0 + 0 + 213 = 666.

It is not a de Polignac number, because 21023010300213 - 25 = 21023010300181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21023010300713) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1465317306 + ... + 1465331652.

It is an arithmetic number, because the mean of its divisors is an integer number (513127524000).

Almost surely, 221023010300213 is an apocalyptic number.

It is an amenable number.

21023010300213 is a deficient number, since it is larger than the sum of its proper divisors (11817151235787).

21023010300213 is a wasteful number, since it uses less digits than its factorization.

21023010300213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19031 (or 19025 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21023010300213 its reverse (31200301032012), we get a palindrome (52223311332225).

The spelling of 21023010300213 in words is "twenty-one trillion, twenty-three billion, ten million, three hundred thousand, two hundred thirteen".

Divisors: 1 3 9 19 27 57 171 513 727 2181 3929 6543 11787 13813 14347 19629 35361 41439 43041 74651 106083 124317 129123 223953 272593 372951 387369 671859 817779 2015577 2453337 2856383 7360011 8569149 10430269 25707447 31290807 54271277 56369363 77122341 93872421 162813831 169108089 198175111 281617263 488441493 507324267 594525333 1071017897 1465324479 1521972801 1783575999 3213053691 5350727997 9639161073 28917483219 40980526901 122941580703 368824742109 778630011119 1106474226327 2335890033357 7007670100071 21023010300213