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2220201021000 = 233533720001811
BaseRepresentation
bin100000010011101110010…
…010110000111001001000
321212020201121220201200110
4200103232102300321020
5242333432430133000
64415540221034320
7316255436205024
oct40235622607110
97766647821613
102220201021000
11786644661066
122ba3589b59a0
13131496ab20c1
147965b823384
153cb44b79850
hex204ee4b0e48

2220201021000 has 128 divisors (see below), whose sum is σ = 7114244492160. Its totient is φ = 576052128000.

The previous prime is 2220201020977. The next prime is 2220201021067. The reversal of 2220201021000 is 1201020222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9889906 + ... + 10111905.

It is an arithmetic number, because the mean of its divisors is an integer number (55580035095).

Almost surely, 22220201021000 is an apocalyptic number.

2220201021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220201021000 is an abundant number, since it is smaller than the sum of its proper divisors (4894043471160).

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

2220201021000 is a wasteful number, since it uses less digits than its factorization.

2220201021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20001872 (or 20001858 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2220201021000 its reverse (1201020222), we get a palindrome (2221402041222).

The spelling of 2220201021000 in words is "two trillion, two hundred twenty billion, two hundred one million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 600 740 750 888 925 1000 1110 1480 1500 1850 2220 2775 3000 3700 4440 4625 5550 7400 9250 11100 13875 18500 22200 27750 37000 55500 111000 20001811 40003622 60005433 80007244 100009055 120010866 160014488 200018110 240021732 300027165 400036220 480043464 500045275 600054330 740067007 800072440 1000090550 1200108660 1480134014 1500135825 2000181100 2220201021 2400217320 2500226375 2960268028 3000271650 3700335035 4000362200 4440402042 5000452750 5920536056 6000543300 7400670070 7500679125 8880804084 10000905500 11101005105 12001086600 14801340140 15001358250 17761608168 18501675175 20001811000 22202010210 29602680280 30002716500 37003350350 44404020420 55505025525 60005433000 74006700700 88808040840 92508375875 111010051050 148013401400 185016751750 222020102100 277525127625 370033503500 444040204200 555050255250 740067007000 1110100510500 2220201021000