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21344001320 = 2351333740009
BaseRepresentation
bin10011111000001100…
…111001110100101000
32001002111111121110102
4103320030321310220
5322203031020240
613445540004532
71353632006045
oct237014716450
961074447412
1021344001320
119063150114
124178090748
132021c7a7a5
1410669bc1cc
1584dc4d815
hex4f8339d28

21344001320 has 32 divisors (see below), whose sum is σ = 48028804200. Its totient is φ = 8536747008.

The previous prime is 21344001299. The next prime is 21344001377. The reversal of 21344001320 is 2310044312.

It can be written as a sum of positive squares in 4 ways, for example, as 20505667204 + 838334116 = 143198^2 + 28954^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21344001292 and 21344001301.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 513476 + ... + 553484.

Almost surely, 221344001320 is an apocalyptic number.

21344001320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21344001320 is an abundant number, since it is smaller than the sum of its proper divisors (26684802880).

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

21344001320 is a wasteful number, since it uses less digits than its factorization.

21344001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53357 (or 53353 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21344001320 its reverse (2310044312), we get a palindrome (23654045632).

The spelling of 21344001320 in words is "twenty-one billion, three hundred forty-four million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 13337 26674 40009 53348 66685 80018 106696 133370 160036 200045 266740 320072 400090 533480 800180 1600360 533600033 1067200066 2134400132 2668000165 4268800264 5336000330 10672000660 21344001320