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20102204120000 = 2654796361457
BaseRepresentation
bin1001001001000011010001…
…01111000101101111000000
32122011202022011112202010112
410210201220233011233000
510113323303223320000
6110430454115050452
74143223233506132
oct444415057055700
978152264482115
1020102204120000
11645032a187112
122307b375a0a28
13b2a8256381a2
144d6d47d0d052
1524cd87853235
hex124868bc5bc0

20102204120000 has 140 divisors (see below), whose sum is σ = 50477914771680. Its totient is φ = 7939097088000.

The previous prime is 20102204119999. The next prime is 20102204120077. The reversal of 20102204120000 is 2140220102.

It is a super-2 number, since 2×201022041200002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20729 + ... + 6340728.

Almost surely, 220102204120000 is an apocalyptic number.

20102204120000 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 20102204120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25238957385840).

20102204120000 is an abundant number, since it is smaller than the sum of its proper divisors (30375710651680).

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

20102204120000 is an frugal number, since it uses more digits than its factorization.

20102204120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6361568 (or 6361543 counting only the distinct ones).

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

Adding to 20102204120000 its reverse (2140220102), we get a palindrome (20104344340102).

The spelling of 20102204120000 in words is "twenty trillion, one hundred two billion, two hundred four million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 79 80 100 125 158 160 200 250 316 320 395 400 500 625 632 790 800 1000 1250 1264 1580 1600 1975 2000 2500 2528 3160 3950 4000 5000 5056 6320 7900 8000 9875 10000 12640 15800 19750 20000 25280 31600 39500 40000 49375 63200 79000 98750 126400 158000 197500 316000 395000 632000 790000 1580000 3160000 6361457 12722914 25445828 31807285 50891656 63614570 101783312 127229140 159036425 203566624 254458280 318072850 407133248 502555103 508916560 636145700 795182125 1005110206 1017833120 1272291400 1590364250 2010220412 2035666240 2512775515 2544582800 3180728500 3975910625 4020440824 5025551030 5089165600 6361457000 7951821250 8040881648 10051102060 10178331200 12563877575 12722914000 15903642500 16081763296 20102204120 25127755150 25445828000 31807285000 32163526592 40204408240 50255510300 50891656000 62819387875 63614570000 80408816480 100511020600 125638775750 127229140000 160817632960 201022041200 251277551500 254458280000 314096939375 402044082400 502555103000 628193878750 804088164800 1005110206000 1256387757500 2010220412000 2512775515000 4020440824000 5025551030000 10051102060000 20102204120000