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1020202220000 = 2554461110651
BaseRepresentation
bin11101101100010001100…
…10100111100111100000
310121112022122110112102102
432312020302213213200
5113203333232020000
62100401402105532
7133464363534425
oct16661062474740
93545278415372
101020202220000
11363735613887
1214587b7ab2a8
1375287827082
143754152bd4c
151b8101293d5
hexed88ca79e0

1020202220000 has 120 divisors (see below), whose sum is σ = 2515317584472. Its totient is φ = 407192000000.

The previous prime is 1020202219999. The next prime is 1020202220039. The reversal of 1020202220000 is 222020201.

1020202220000 is digitally balanced in base 2, 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, 9164675 + ... + 9275325.

Almost surely, 21020202220000 is an apocalyptic number.

1020202220000 is a gapful number since it is divisible by the number (10) 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 1020202220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257658792236).

1020202220000 is an abundant number, since it is smaller than the sum of its proper divisors (1495115364472).

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

1020202220000 is an equidigital number, since it uses as much as digits as its factorization.

1020202220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111142 (or 111119 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 1020202220000 its reverse (222020201), we get a palindrome (1020424240201).

The spelling of 1020202220000 in words is "one trillion, twenty billion, two hundred two million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 461 500 625 800 922 1000 1250 1844 2000 2305 2500 3688 4000 4610 5000 7376 9220 10000 11525 14752 18440 20000 23050 36880 46100 57625 73760 92200 110651 115250 184400 221302 230500 288125 368800 442604 461000 553255 576250 885208 922000 1106510 1152500 1770416 1844000 2213020 2305000 2766275 3540832 4426040 4610000 5532550 8852080 9220000 11065100 13831375 17704160 22130200 27662750 44260400 51010111 55325500 69156875 88520800 102020222 110651000 138313750 204040444 221302000 255050555 276627500 408080888 442604000 510101110 553255000 816161776 1020202220 1106510000 1275252775 1632323552 2040404440 2213020000 2550505550 4080808880 5101011100 6376263875 8161617760 10202022200 12752527750 20404044400 25505055500 31881319375 40808088800 51010111000 63762638750 102020222000 127525277500 204040444000 255050555000 510101110000 1020202220000