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223030211001300 = 2232521491663163393
BaseRepresentation
bin110010101101100001000100…
…100000000011101111010100
31002020200110221212200201102100
4302231201010200003233110
5213213111333004020200
62110202355305442100
764656254354016513
oct6255410440035724
91066613855621370
10223030211001300
11650786437a752a
12210208ba4a0330
13975a8740a4431
143d10a1122a67a
151abb7daa71d00
hexcad844803bd4

223030211001300 has 108 divisors (see below), whose sum is σ = 703767590171100. Its totient is φ = 59075563683840.

The previous prime is 223030211001263. The next prime is 223030211001361. The reversal of 223030211001300 is 3100112030322.

223030211001300 is a `hidden beast` number, since 2 + 230 + 30 + 2 + 1 + 100 + 1 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6877055187396 + 216153155813904 = 2622414^2 + 14702148^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 831447597 + ... + 831715796.

Almost surely, 2223030211001300 is an apocalyptic number.

223030211001300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223030211001300 is an abundant number, since it is smaller than the sum of its proper divisors (480737379169800).

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

223030211001300 is a wasteful number, since it uses less digits than its factorization.

223030211001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663163562 (or 1663163552 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 223030211001300 its reverse (3100112030322), we get a palindrome (226130323031622).

The spelling of 223030211001300 in words is "two hundred twenty-three trillion, thirty billion, two hundred eleven million, one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 149 150 180 225 298 300 447 450 596 745 894 900 1341 1490 1788 2235 2682 2980 3725 4470 5364 6705 7450 8940 11175 13410 14900 22350 26820 33525 44700 67050 134100 1663163393 3326326786 4989490179 6652653572 8315816965 9978980358 14968470537 16631633930 19957960716 24947450895 29936941074 33263267860 41579084825 49894901790 59873882148 74842352685 83158169650 99789803580 124737254475 149684705370 166316339300 247811345557 249474508950 299369410740 374211763425 495622691114 498949017900 743434036671 748423526850 991245382228 1239056727785 1486868073342 1496847053700 2230302110013 2478113455570 2973736146684 3717170183355 4460604220026 4956226911140 6195283638925 7434340366710 8921208440052 11151510550065 12390567277850 14868680733420 18585850916775 22303021100130 24781134555700 37171701833550 44606042200260 55757552750325 74343403667100 111515105500650 223030211001300