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21341000320 = 275171961489
BaseRepresentation
bin10011111000000001…
…011101001010000000
32001002021212010212021
4103320001131022000
5322201244002240
613445351411224
71353564336553
oct237001351200
961067763767
1021341000320
119061490452
124177083b14
132021469853
14106643a69a
1584d85954a
hex4f805d280

21341000320 has 64 divisors (see below), whose sum is σ = 54019434600. Its totient is φ = 8034254848.

The previous prime is 21341000309. The next prime is 21341000321. The reversal of 21341000320 is 2300014312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21229655616 + 111344704 = 145704^2 + 10552^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 21341000294 and 21341000303.

It is not an unprimeable number, because it can be changed into a prime (21341000321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 969865 + ... + 991624.

Almost surely, 221341000320 is an apocalyptic number.

21341000320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21341000320 is an abundant number, since it is smaller than the sum of its proper divisors (32678434280).

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

21341000320 is a wasteful number, since it uses less digits than its factorization.

21341000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961525 (or 1961513 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 21341000320 its reverse (2300014312), we get a palindrome (23641014632).

The spelling of 21341000320 in words is "twenty-one billion, three hundred forty-one million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2720 5440 10880 1961489 3922978 7845956 9807445 15691912 19614890 31383824 33345313 39229780 62767648 66690626 78459560 125535296 133381252 156919120 166726565 251070592 266762504 313838240 333453130 533525008 627676480 666906260 1067050016 1255352960 1333812520 2134100032 2667625040 4268200064 5335250080 10670500160 21341000320