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2023310003320 = 235532103174829
BaseRepresentation
bin11101011100010110101…
…011001000110001111000
321011102111221201201011101
4131130112223020301320
5231122214330101240
64145255031141144
7266115336156304
oct35342653106170
97142457651141
102023310003320
11710098827341
1228816a5147b4
13118a49914548
146dd005d6d04
153796e62539a
hex1d716ac8c78

2023310003320 has 96 divisors (see below), whose sum is σ = 4685038394400. Its totient is φ = 786339979776.

The previous prime is 2023310003317. The next prime is 2023310003339. The reversal of 2023310003320 is 233000133202.

It is a happy number.

It is a super-2 number, since 2×20233100033202 (a number of 25 digits) contains 22 as substring.

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, 11485666 + ... + 11660494.

It is an arithmetic number, because the mean of its divisors is an integer number (48802483275).

Almost surely, 22023310003320 is an apocalyptic number.

2023310003320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023310003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342519197200).

2023310003320 is an abundant number, since it is smaller than the sum of its proper divisors (2661728391080).

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

2023310003320 is a wasteful number, since it uses less digits than its factorization.

2023310003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175049 (or 174992 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 2023310003320 its reverse (233000133202), we get a palindrome (2256310136522).

The spelling of 2023310003320 in words is "two trillion, twenty-three billion, three hundred ten million, three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 103 106 206 212 265 412 424 515 530 824 1030 1060 2060 2120 2809 4120 5459 5618 10918 11236 14045 21836 22472 27295 28090 43672 54590 56180 109180 112360 174829 218360 289327 349658 578654 699316 874145 1157308 1398632 1446635 1748290 2314616 2893270 3496580 5786540 6993160 9265937 11573080 18007387 18531874 36014774 37063748 46329685 72029548 74127496 90036935 92659370 144059096 180073870 185318740 360147740 370637480 491094661 720295480 954391511 982189322 1908783022 1964378644 2455473305 3817566044 3928757288 4771957555 4910946610 7635132088 9543915110 9821893220 19087830220 19643786440 38175660440 50582750083 101165500166 202331000332 252913750415 404662000664 505827500830 1011655001660 2023310003320