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223301143230100 = 225213277620108701
BaseRepresentation
bin110010110001011101011001…
…010100011111011010010100
31002021122101021121110222021221
4302301131121110133122110
5213232031220131330400
62110531043511420124
765014655331662425
oct6261353124373224
91067571247428257
10223301143230100
11651725349a5021
1221065311084644
13977a290a09c10
143d1db93a6d64c
151ac389639cc1a
hexcb175951f694

223301143230100 has 72 divisors (see below), whose sum is σ = 523721485795928. Its totient is φ = 82152000576000.

The previous prime is 223301143230079. The next prime is 223301143230197. The reversal of 223301143230100 is 1032341103322.

It can be written as a sum of positive squares in 12 ways, for example, as 155435115239044 + 67866027991056 = 12467362^2 + 8238084^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 309694251 + ... + 310414450.

Almost surely, 2223301143230100 is an apocalyptic number.

223301143230100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223301143230100 is an abundant number, since it is smaller than the sum of its proper divisors (300420342565828).

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

223301143230100 is a wasteful number, since it uses less digits than its factorization.

223301143230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620109005 (or 620108998 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 223301143230100 its reverse (1032341103322), we get a palindrome (224333484333422).

The spelling of 223301143230100 in words is "two hundred twenty-three trillion, three hundred one billion, one hundred forty-three million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 277 325 554 650 1108 1300 1385 2770 3601 5540 6925 7202 13850 14404 18005 27700 36010 72020 90025 180050 360100 620108701 1240217402 2480434804 3100543505 6201087010 8061413113 12402174020 15502717525 16122826226 31005435050 32245652452 40307065565 62010870100 80614131130 161228262260 171770110177 201535327825 343540220354 403070655650 687080440708 806141311300 858850550885 1717701101770 2233011432301 3435402203540 4294252754425 4466022864602 8588505508850 8932045729204 11165057161505 17177011017700 22330114323010 44660228646020 55825285807525 111650571615050 223301143230100