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321420310401300 = 223521197400094061
BaseRepresentation
bin100100100010101000111111…
…1011011001101000100010100
31120011001111000002000011202220
41021011101333123031010110
5314112122243430320200
63055334241355302340
7124462564632646005
oct11105217733150424
91504044002004686
10321420310401300
11934616518a1970
12300714ab74a9b0
1310a46a6109a546
145952b7c8a51ac
152725d2e9864a0
hex124547f6cd114

321420310401300 has 72 divisors (see below), whose sum is σ = 1014519379749792. Its totient is φ = 77920075248000.

The previous prime is 321420310401271. The next prime is 321420310401301. The reversal of 321420310401300 is 3104013024123.

It is a happy number.

It is a super-2 number, since 2×3214203104013002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321420310401301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48700043731 + ... + 48700050330.

Almost surely, 2321420310401300 is an apocalyptic number.

321420310401300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321420310401300 is an abundant number, since it is smaller than the sum of its proper divisors (693099069348492).

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

321420310401300 is a wasteful number, since it uses less digits than its factorization.

321420310401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97400094089 (or 97400094082 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 321420310401300 its reverse (3104013024123), we get a palindrome (324524323425423).

The spelling of 321420310401300 in words is "three hundred twenty-one trillion, four hundred twenty billion, three hundred ten million, four hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 97400094061 194800188122 292200282183 389600376244 487000470305 584400564366 974000940610 1071401034671 1168801128732 1461001410915 1948001881220 2142802069342 2435002351525 2922002821830 3214203104013 4285604138684 4870004703050 5357005173355 5844005643660 6428406208026 7305007054575 9740009406100 10714010346710 12856812416052 14610014109150 16071015520065 21428020693420 26785025866775 29220028218300 32142031040130 53570051733550 64284062080260 80355077600325 107140103467100 160710155200650 321420310401300