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223010001301300 = 225223892381457559
BaseRepresentation
bin110010101101001110001111…
…111010001010111100110100
31002020121112210102120120211221
4302231032033322022330310
5213212243440313120200
62110145214045440124
764654640504265403
oct6255161772127464
91066545712516757
10223010001301300
116507001296a824
12210189ba270044
1397589a3127375
143d0da5515963a
151abb0066d291a
hexcad38fe8af34

223010001301300 has 144 divisors (see below), whose sum is σ = 510861640262400. Its totient is φ = 84331233817600.

The previous prime is 223010001301181. The next prime is 223010001301309. The reversal of 223010001301300 is 3103100010322.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223010001301309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487161921 + ... + 487619479.

It is an arithmetic number, because the mean of its divisors is an integer number (3547650279600).

Almost surely, 2223010001301300 is an apocalyptic number.

223010001301300 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 223010001301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255430820131200).

223010001301300 is an abundant number, since it is smaller than the sum of its proper divisors (287851638961100).

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

223010001301300 is a wasteful number, since it uses less digits than its factorization.

223010001301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460066 (or 460059 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 223010001301300 its reverse (3103100010322), we get a palindrome (226113101311622).

The spelling of 223010001301300 in words is "two hundred twenty-three trillion, ten billion, one million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 89 92 100 115 178 230 356 445 460 575 890 1150 1780 2047 2225 2300 2381 4094 4450 4762 8188 8900 9524 10235 11905 20470 23810 40940 47620 51175 54763 59525 102350 109526 119050 204700 211909 219052 238100 273815 423818 457559 547630 847636 915118 1059545 1095260 1369075 1830236 2119090 2287795 2738150 4238180 4575590 4873907 5297725 5476300 9151180 9747814 10523857 10595450 11438975 19495628 21047714 21190900 22877950 24369535 40722751 42095428 45755900 48739070 52619285 81445502 97478140 105238570 121847675 162891004 203613755 210477140 243695350 263096425 407227510 487390700 526192850 814455020 936623273 1018068775 1052385700 1089447979 1873246546 2036137550 2178895958 3746493092 4072275100 4357791916 4683116365 5447239895 9366232730 10894479790 18732465460 21788959580 23415581825 25057303517 27236199475 46831163650 50114607034 54472398950 93662327300 96960870131 100229214068 108944797900 125286517585 193921740262 250573035170 387843480524 484804350655 501146070340 626432587925 969608701310 1252865175850 1939217402620 2230100013013 2424021753275 2505730351700 4460200026026 4848043506550 8920400052052 9696087013100 11150500065065 22301000130130 44602000260260 55752500325325 111505000650650 223010001301300