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21323225514213 = 3372173343283601
BaseRepresentation
bin1001101100100101100110…
…10010000100000011100101
32210111110222020201022211000
410312102303102010003211
510243324431212423323
6113203430553103513
74330360256223600
oct466226322040345
983443866638730
1021323225514213
1168811469a8877
1224847010b7b99
13bb8a050b889c
1453a09a239337
1526e9eccb4e43
hex1364b34840e5

21323225514213 has 96 divisors (see below), whose sum is σ = 38920903211520. Its totient is φ = 11464482355200.

The previous prime is 21323225514211. The next prime is 21323225514347. The reversal of 21323225514213 is 31241552232312.

21323225514213 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 3 + 225 + 5 + 1 + 421 + 3 = 666.

It is not a de Polignac number, because 21323225514213 - 21 = 21323225514211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21323225514211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75045613 + ... + 75329213.

It is an arithmetic number, because the mean of its divisors is an integer number (405426075120).

Almost surely, 221323225514213 is an apocalyptic number.

It is an amenable number.

21323225514213 is a deficient number, since it is larger than the sum of its proper divisors (17597677697307).

21323225514213 is a wasteful number, since it uses less digits than its factorization.

21323225514213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286984 (or 286971 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 21323225514213 its reverse (31241552232312), we get a palindrome (52564777746525).

The spelling of 21323225514213 in words is "twenty-one trillion, three hundred twenty-three billion, two hundred twenty-five million, five hundred fourteen thousand, two hundred thirteen".

Divisors: 1 3 7 9 17 21 27 49 51 63 119 147 153 189 357 441 459 833 1071 1323 2499 3213 3343 7497 10029 22491 23401 30087 56831 70203 90261 163807 170493 210609 283601 397817 491421 511479 631827 850803 1193451 1474263 1534437 1985207 2552409 2784719 3580353 4422789 4821217 5955621 7657227 8354157 10741059 13896449 14463651 17866863 25062471 33748519 41689347 43390953 53600589 75187413 101245557 125068041 130172859 236239633 303736671 375204123 708718899 911210013 948078143 2126156697 2844234429 6378470091 6636547001 8532703287 16117328431 19909641003 25598109861 46455829007 48351985293 59728923009 112821299017 139367487021 145055955879 179186769027 338463897051 418102461063 435167867637 789749093119 1015391691153 1254307383189 2369247279357 3046175073459 7107741838071 21323225514213