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21300312240 = 2432529583767
BaseRepresentation
bin10011110101100110…
…001111100010110000
32000222110021222022100
4103311212033202300
5322110334442430
613441335340400
71352561444454
oct236546174260
960873258270
1021300312240
11904051a939
124165521700
132015bc1a6c
141060c88664
15849ebd960
hex4f598f8b0

21300312240 has 60 divisors (see below), whose sum is σ = 71533551024. Its totient is φ = 5680083072.

The previous prime is 21300312233. The next prime is 21300312247. The reversal of 21300312240 is 4221300312.

It is an interprime number because it is at equal distance from previous prime (21300312233) and next prime (21300312247).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21300312247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14791164 + ... + 14792603.

Almost surely, 221300312240 is an apocalyptic number.

21300312240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21300312240 is an abundant number, since it is smaller than the sum of its proper divisors (50233238784).

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

21300312240 is a wasteful number, since it uses less digits than its factorization.

21300312240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29583786 (or 29583777 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21300312240 its reverse (4221300312), we get a palindrome (25521612552).

The spelling of 21300312240 in words is "twenty-one billion, three hundred million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 29583767 59167534 88751301 118335068 147918835 177502602 236670136 266253903 295837670 355005204 443756505 473340272 532507806 591675340 710010408 887513010 1065015612 1183350680 1331269515 1420020816 1775026020 2130031224 2366701360 2662539030 3550052040 4260062448 5325078060 7100104080 10650156120 21300312240