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31320304000 = 27531957519
BaseRepresentation
bin11101001010110101…
…011110100110000000
32222211202200021222021
4131022311132212000
51003120444212000
622215514451224
72156101122436
oct351265364600
988752607867
1031320304000
1112312549a67
1260a1133b14
132c51a8b97b
141731932d56
15c349ca11a
hex74ad5e980

31320304000 has 64 divisors (see below), whose sum is σ = 77870145600. Its totient is φ = 12528115200.

The previous prime is 31320303979. The next prime is 31320304013. The reversal of 31320304000 is 40302313.

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

It is a super-2 number, since 2×313203040002 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

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, 962760 + ... + 994759.

It is an arithmetic number, because the mean of its divisors is an integer number (1216721025).

Almost surely, 231320304000 is an apocalyptic number.

It is an amenable number.

31320304000 is an abundant number, since it is smaller than the sum of its proper divisors (46549841600).

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

31320304000 is an equidigital number, since it uses as much as digits as its factorization.

31320304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957548 (or 1957526 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 31320304000 its reverse (40302313), we get a palindrome (31360606313).

The spelling of 31320304000 in words is "thirty-one billion, three hundred twenty million, three hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 1957519 3915038 7830076 9787595 15660152 19575190 31320304 39150380 48937975 62640608 78300760 97875950 125281216 156601520 195751900 244689875 250562432 313203040 391503800 489379750 626406080 783007600 978759500 1252812160 1566015200 1957519000 3132030400 3915038000 6264060800 7830076000 15660152000 31320304000