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321331304400030 = 232530711629797481
BaseRepresentation
bin100100100001111111100011…
…0010000010000010010011110
31120010201222021002111211120100
41021003333012100100102132
5314104143002411300110
63055225321404001530
7124453264163266641
oct11103770620202236
91503658232454510
10321331304400030
1193427928275831
12300581ab8302a6
1310a3b5481939c2
14594c7379d1a58
152723870a02bc0
hex1243fc641049e

321331304400030 has 48 divisors (see below), whose sum is σ = 838182764122704. Its totient is φ = 85409232693120.

The previous prime is 321331304399969. The next prime is 321331304400097. The reversal of 321331304400030 is 30004403133123.

321331304400030 is a `hidden beast` number, since 3 + 21 + 331 + 304 + 4 + 0 + 0 + 0 + 3 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 321331304399967 and 321331304400003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5814871111 + ... + 5814926370.

It is an arithmetic number, because the mean of its divisors is an integer number (17462140919223).

Almost surely, 2321331304400030 is an apocalyptic number.

321331304400030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

321331304400030 is an abundant number, since it is smaller than the sum of its proper divisors (516851459722674).

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

321331304400030 is a wasteful number, since it uses less digits than its factorization.

321331304400030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11629797801 (or 11629797798 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 321331304400030 its reverse (30004403133123), we get a palindrome (351335707533153).

The spelling of 321331304400030 in words is "three hundred twenty-one trillion, three hundred thirty-one billion, three hundred four million, four hundred thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 307 614 921 1535 1842 2763 3070 4605 5526 9210 13815 27630 11629797481 23259594962 34889392443 58148987405 69778784886 104668177329 116297974810 174446962215 209336354658 348893924430 523340886645 1046681773290 3570347826667 7140695653334 10711043480001 17851739133335 21422086960002 32133130440003 35703478266670 53555217400005 64266260880006 107110434800010 160665652200015 321331304400030