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21120324144003 = 3272419255744701
BaseRepresentation
bin1001100110101011101010…
…11010110000101110000011
32202210002020200222202121200
410303111311122300232003
510232013410440102003
6112530313140352243
74306615215101400
oct463256532605603
982702220882550
1021120324144003
116803096412257
1224513159a5683
13ba283a969106
1453032caa72a7
152695c4c806a3
hex1335756b0b83

21120324144003 has 72 divisors (see below), whose sum is σ = 35587296173520. Its totient is φ = 12034975075200.

The previous prime is 21120324143981. The next prime is 21120324144089. The reversal of 21120324144003 is 30044142302112.

21120324144003 is a `hidden beast` number, since 2 + 1 + 1 + 203 + 2 + 414 + 40 + 0 + 3 = 666.

It is not a de Polignac number, because 21120324144003 - 212 = 21120324139907 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21120324144203) 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 71 ways as a sum of consecutive naturals, for example, 472457553 + ... + 472502253.

It is an arithmetic number, because the mean of its divisors is an integer number (494268002410).

Almost surely, 221120324144003 is an apocalyptic number.

21120324144003 is a deficient number, since it is larger than the sum of its proper divisors (14466972029517).

21120324144003 is a wasteful number, since it uses less digits than its factorization.

21120324144003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47697 (or 47687 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 21120324144003 its reverse (30044142302112), we get a palindrome (51164466446115).

The spelling of 21120324144003 in words is "twenty-one trillion, one hundred twenty billion, three hundred twenty-four million, one hundred forty-four thousand, three".

Divisors: 1 3 7 9 21 49 63 147 419 441 1257 2557 2933 3771 7671 8799 17899 20531 23013 26397 44701 53697 61593 125293 134103 161091 184779 312907 375879 402309 938721 1071383 1127637 2190349 2816163 3214149 6571047 7499681 9642447 18729719 19713141 22499043 52497767 56189157 67497129 114300457 131108033 157493301 168567471 342901371 393324099 472479903 800103199 917756231 1028704113 1179972297 2400309597 2753268693 5600722393 7200928791 8259806079 16802167179 47891891483 50406501537 143675674449 335243240381 431027023347 1005729721143 2346702682667 3017189163429 7040108048001 21120324144003