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202220120121000 = 23353275324484819
BaseRepresentation
bin101101111110101100001010…
…011011010001111010101000
3222112000001110212022122022120
4231332230022123101322220
5203001133301222333000
61554030350220351240
760410631043060512
oct5576541233217250
9875001425278276
10202220120121000
1159485086a39003
121a81b7450a5520
1388ab377387057
1437d17127c8bb2
15185a321a886a0
hexb7eb0a6d1ea8

202220120121000 has 128 divisors (see below), whose sum is σ = 631155978460800. Its totient is φ = 53905775308800.

The previous prime is 202220120120983. The next prime is 202220120121029. The reversal of 202220120121000 is 121021022202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3983410 + ... + 20501409.

It is an arithmetic number, because the mean of its divisors is an integer number (4930906081725).

Almost surely, 2202220120121000 is an apocalyptic number.

202220120121000 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 202220120121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315577989230400).

202220120121000 is an abundant number, since it is smaller than the sum of its proper divisors (428935858339800).

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

202220120121000 is a wasteful number, since it uses less digits than its factorization.

202220120121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24487596 (or 24487582 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202220120121000 its reverse (121021022202), we get a palindrome (202341141143202).

The spelling of 202220120121000 in words is "two hundred two trillion, two hundred twenty billion, one hundred twenty million, one hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 2753 3000 5506 8259 11012 13765 16518 22024 27530 33036 41295 55060 66072 68825 82590 110120 137650 165180 206475 275300 330360 344125 412950 550600 688250 825900 1032375 1376500 1651800 2064750 2753000 4129500 8259000 24484819 48969638 73454457 97939276 122424095 146908914 195878552 244848190 293817828 367272285 489696380 587635656 612120475 734544570 979392760 1224240950 1469089140 1836361425 2448481900 2938178280 3060602375 3672722850 4896963800 6121204750 7345445700 9181807125 12242409500 14690891400 18363614250 24484819000 36727228500 67406706707 73454457000 134813413414 202220120121 269626826828 337033533535 404440240242 539253653656 674067067070 808880480484 1011100600605 1348134134140 1617760960968 1685167667675 2022201201210 2696268268280 3370335335350 4044402402420 5055503003025 6740670670700 8088804804840 8425838338375 10111006006050 13481341341400 16851676676750 20222012012100 25277515015125 33703353353500 40444024024200 50555030030250 67406706707000 101110060060500 202220120121000