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223103021020 = 225112431213901
BaseRepresentation
bin1100111111000111111…
…0011110111111011100
3210022212102200202100121
43033301332132333130
512123403333133040
6250254144004324
722055462250265
oct3176176367734
9708772622317
10223103021020
1186687925900
12372a49006a4
131806683bc09
14ab2654996c
155c0b833c4a
hex33f1f9efdc

223103021020 has 72 divisors (see below), whose sum is σ = 516178039104. Its totient is φ = 80939760000.

The previous prime is 223103021003. The next prime is 223103021021. The reversal of 223103021020 is 20120301322.

It is a super-3 number, since 3×2231030210203 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223103020985 and 223103021003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223103021021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 936070 + ... + 1149970.

It is an arithmetic number, because the mean of its divisors is an integer number (7169139432).

Almost surely, 2223103021020 is an apocalyptic number.

223103021020 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 223103021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258089019552).

223103021020 is an abundant number, since it is smaller than the sum of its proper divisors (293075018084).

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

223103021020 is a wasteful number, since it uses less digits than its factorization.

223103021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214363 (or 214350 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 223103021020 its reverse (20120301322), we get a palindrome (243223322342).

It can be divided in two parts, 22310302 and 1020, that added together give a palindrome (22311322).

The spelling of 223103021020 in words is "two hundred twenty-three billion, one hundred three million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 431 484 605 862 1210 1724 2155 2420 4310 4741 8620 9482 18964 23705 47410 52151 94820 104302 208604 213901 260755 427802 521510 855604 1043020 1069505 2139010 2352911 4278020 4705822 9411644 11764555 23529110 25882021 47058220 51764042 92191331 103528084 129410105 184382662 258820210 368765324 460956655 517640420 921913310 1014104641 1843826620 2028209282 4056418564 5070523205 10141046410 11155151051 20282092820 22310302102 44620604204 55775755255 111551510510 223103021020