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320013033300312 = 2331110131429837379
BaseRepresentation
bin100100011000011001101011…
…1001011000110000101011000
31112222001221120111212100102020
41020300303113023012011120
5313421043143011102222
63052335542531134440
7124256115200652042
oct11060632713060530
91488057514770366
10320013033300312
1192a69846636a30
122ba84805444420
131097413a949771
1459049dba0aa92
1526ee417a2365c
hex1230cd72c6158

320013033300312 has 128 divisors (see below), whose sum is σ = 874236778272000. Its totient is φ = 96810007472640.

The previous prime is 320013033300281. The next prime is 320013033300319. The reversal of 320013033300312 is 213003330310023.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320013033300319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381741639 + ... + 382579017.

It is an arithmetic number, because the mean of its divisors is an integer number (6829974830250).

Almost surely, 2320013033300312 is an apocalyptic number.

It is an amenable number.

320013033300312 is an abundant number, since it is smaller than the sum of its proper divisors (554223744971688).

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

320013033300312 is a wasteful number, since it uses less digits than its factorization.

320013033300312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839841 (or 839837 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 320013033300312 its reverse (213003330310023), we get a palindrome (533016363610335).

The spelling of 320013033300312 in words is "three hundred twenty trillion, thirteen billion, thirty-three million, three hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1013 1429 2026 2858 3039 4052 4287 5716 6078 8104 8574 11143 11432 12156 15719 17148 22286 24312 31438 33429 34296 44572 47157 62876 66858 89144 94314 125752 133716 188628 267432 377256 837379 1447577 1674758 2512137 2895154 3349516 4342731 5024274 5790308 6699032 8685462 9211169 10048548 11580616 15923347 17370924 18422338 20097096 27633507 31846694 34741848 36844676 47770041 55267014 63693388 73689352 95540082 110534028 127386776 191080164 221068056 382160328 848264927 1196614591 1696529854 2393229182 2544794781 3393059708 3589843773 4786458364 5089589562 6786119416 7179687546 9330914197 9572916728 10179179124 13162760501 14359375092 18661828394 20358358248 26325521002 27992742591 28718750184 37323656788 39488281503 52651042004 55985485182 74647313576 78976563006 105302084008 111970970364 157953126012 223941940728 315906252024 1212170580683 2424341161366 3636511742049 4848682322732 7273023484098 9697364645464 13333876387513 14546046968196 26667752775026 29092093936392 40001629162539 53335505550052 80003258325078 106671011100104 160006516650156 320013033300312