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21033420300432 = 2432850371717669
BaseRepresentation
bin1001100100001001110011…
…00010111010000010010000
32202110202221020002002122200
410302010321202322002100
510224102421044103212
6112422341521403200
74300420522444101
oct462047142720220
982422836062580
1021033420300432
11677a250468331
122438501a99500
13b9759b427577
1452a0470823a8
152671da63d6dc
hex1321398ba090

21033420300432 has 60 divisors (see below), whose sum is σ = 58865090248380. Its totient is φ = 7011053570304.

The previous prime is 21033420300419. The next prime is 21033420300439. The reversal of 21033420300432 is 23400302433012.

21033420300432 is a `hidden beast` number, since 2 + 1 + 0 + 334 + 20 + 300 + 4 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11307105660816 + 9726314639616 = 3362604^2 + 3118704^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21033420300396 and 21033420300405.

It is not an unprimeable number, because it can be changed into a prime (21033420300439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11386494 + ... + 13104162.

It is an arithmetic number, because the mean of its divisors is an integer number (981084837473).

Almost surely, 221033420300432 is an apocalyptic number.

It is an amenable number.

21033420300432 is an abundant number, since it is smaller than the sum of its proper divisors (37831669947948).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21033420300432 is a wasteful number, since it uses less digits than its factorization.

21033420300432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802720 (or 1802711 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 21033420300432 its reverse (23400302433012), we get a palindrome (44433722733444).

The spelling of 21033420300432 in words is "twenty-one trillion, thirty-three billion, four hundred twenty million, three hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 85037 170074 255111 340148 510222 680296 765333 1020444 1360592 1530666 1717669 2040888 3061332 3435338 4081776 5153007 6122664 6870676 10306014 12245328 13741352 15459021 20612028 27482704 30918042 41224056 61836084 82448112 123672168 247344336 146065418753 292130837506 438196256259 584261675012 876392512518 1168523350024 1314588768777 1752785025036 2337046700048 2629177537554 3505570050072 5258355075108 7011140100144 10516710150216 21033420300432