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202221021020000 = 255424421414031
BaseRepresentation
bin101101111110101101000000…
…000111111011111101100000
3222112000010210122112001102012
4231332231000013323331200
5203001142122340120000
61554031015442012052
760410662262432303
oct5576550007737540
9875003718461365
10202221021020000
11594854a9524834
121a81b956947028
1388ab48bc06998
1437d179a2dab3a
15185a375be1735
hexb7eb401fbf60

202221021020000 has 120 divisors (see below), whose sum is σ = 497515618065312. Its totient is φ = 80884900800000.

The previous prime is 202221021019939. The next prime is 202221021020023. The reversal of 202221021020000 is 20120122202.

202221021020000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 488212985 + ... + 488627015.

Almost surely, 2202221021020000 is an apocalyptic number.

202221021020000 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 202221021020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248757809032656).

202221021020000 is an abundant number, since it is smaller than the sum of its proper divisors (295294597045312).

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

202221021020000 is an equidigital number, since it uses as much as digits as its factorization.

202221021020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438482 (or 438459 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 202221021020000 its reverse (20120122202), we get a palindrome (202241141142202).

The spelling of 202221021020000 in words is "two hundred two trillion, two hundred twenty-one billion, twenty-one million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 24421 48842 97684 122105 195368 244210 390736 414031 488420 610525 781472 828062 976840 1221050 1656124 1953680 2070155 2442100 3052625 3312248 3907360 4140310 4884200 6105250 6624496 8280620 9768400 10350775 12210500 13248992 15263125 16561240 19536800 20701550 24421000 30526250 33122480 41403100 48842000 51753875 61052500 66244960 82806200 97684000 103507750 122105000 165612400 207015500 244210000 258769375 331224800 414031000 488420000 517538750 828062000 1035077500 1656124000 2070155000 4140310000 8280620000 10111051051 20222102102 40444204204 50555255255 80888408408 101110510510 161776816816 202221021020 252776276275 323553633632 404442042040 505552552550 808884084080 1011105105100 1263881381375 1617768168160 2022210210200 2527762762750 4044420420400 5055525525500 6319406906875 8088840840800 10111051051000 12638813813750 20222102102000 25277627627500 40444204204000 50555255255000 101110510510000 202221021020000