Search a number
-
+
332320321303020 = 223351319694663277
BaseRepresentation
bin100101110001111100101101…
…0101100111111000111101100
31121120122111211120112101012000
41023203321122230333013230
5322024214004223144040
63134441503101412300
7126666231233630301
oct11343713254770754
91546574746471160
10332320321303020
1196984290891366
1231331aa326a090
131135789702ac8b
145c0c5646170a8
152864632d5b130
hex12e3e5ab3f1ec

332320321303020 has 96 divisors (see below), whose sum is σ = 1033893500068800. Its totient is φ = 88618061832192.

The previous prime is 332320321302979. The next prime is 332320321303031. The reversal of 332320321303020 is 20303123023233.

332320321303020 is a `hidden beast` number, since 3 + 3 + 2 + 3 + 2 + 0 + 321 + 30 + 302 + 0 = 666.

It is a super-2 number, since 2×3323203213030202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68931622 + ... + 73594898.

It is an arithmetic number, because the mean of its divisors is an integer number (10769723959050).

Almost surely, 2332320321303020 is an apocalyptic number.

332320321303020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332320321303020 is an abundant number, since it is smaller than the sum of its proper divisors (701573178765780).

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

332320321303020 is a wasteful number, since it uses less digits than its factorization.

332320321303020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4795264 (or 4795256 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 332320321303020 its reverse (20303123023233), we get a palindrome (352623444326253).

The spelling of 332320321303020 in words is "three hundred thirty-two trillion, three hundred twenty billion, three hundred twenty-one million, three hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 131969 263938 395907 527876 659845 791814 1187721 1319690 1583628 1979535 2375442 2639380 3563163 3959070 4663277 4750884 5938605 7126326 7918140 9326554 11877210 13989831 14252652 17815815 18653108 23316385 23754420 27979662 35631630 41969493 46632770 55959324 69949155 71263260 83938986 93265540 125908479 139898310 167877972 209847465 251816958 279796620 419694930 503633916 629542395 839389860 1259084790 2518169580 615408002413 1230816004826 1846224007239 2461632009652 3077040012065 3692448014478 5538672021717 6154080024130 7384896028956 9231120036195 11077344043434 12308160048260 16616016065151 18462240072390 22154688086868 27693360108585 33232032130302 36924480144780 55386720217170 66464064260604 83080080325755 110773440434340 166160160651510 332320321303020