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420021302004200 = 235213315211182407
BaseRepresentation
bin101111110000000011101010…
…0100000010000100111101000
32001002011122101201012120001002
41133200013110200100213220
5420023112111303113300
64045151042233014132
7154320352263006611
oct13740072440204750
92032148351176032
10420021302004200
11111917041059786
123b136b38254348
1315049ab9b966b0
1475a11d4a70c08
153385ab81b95d5
hex17e01d48109e8

420021302004200 has 96 divisors (see below), whose sum is σ = 1085593519234560. Its totient is φ = 150082053292800.

The previous prime is 420021302004167. The next prime is 420021302004263. The reversal of 420021302004200 is 2400203120024.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2605510604 + ... + 2605671803.

It is an arithmetic number, because the mean of its divisors is an integer number (11308265825360).

Almost surely, 2420021302004200 is an apocalyptic number.

420021302004200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420021302004200 is an abundant number, since it is smaller than the sum of its proper divisors (665572217230360).

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

420021302004200 is a wasteful number, since it uses less digits than its factorization.

420021302004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5211182467 (or 5211182458 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 420021302004200 its reverse (2400203120024), we get a palindrome (422421505124224).

The spelling of 420021302004200 in words is "four hundred twenty trillion, twenty-one billion, three hundred two million, four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 31 40 50 52 62 65 100 104 124 130 155 200 248 260 310 325 403 520 620 650 775 806 1240 1300 1550 1612 2015 2600 3100 3224 4030 6200 8060 10075 16120 20150 40300 80600 5211182407 10422364814 20844729628 26055912035 41689459256 52111824070 67745371291 104223648140 130279560175 135490742582 161546654617 208447296280 260559120350 270981485164 323093309234 338726856455 521118240700 541962970328 646186618468 677453712910 807733273085 1042236481400 1292373236936 1354907425820 1615466546170 1693634282275 2100106510021 2709814851640 3230933092340 3387268564550 4038666365425 4200213020042 6461866184680 6774537129100 8077332730850 8400426040084 10500532550105 13549074258200 16154665461700 16800852080168 21001065100210 32309330923400 42002130200420 52502662750525 84004260400840 105005325501050 210010651002100 420021302004200