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20200122012100 = 225217311133392071
BaseRepresentation
bin1001001011111001101010…
…00110001101000111000100
32122112010001020100001021211
410211330311012031013010
510121424322213341400
6110543450303221204
74153260566040202
oct445746506150704
978463036301254
1020200122012100
116488907294788
122322b03ba7804
13b36b2b982904
144db996620072
152506b8dabdba
hex125f3518d1c4

20200122012100 has 144 divisors (see below), whose sum is σ = 48333932430336. Its totient is φ = 7294307328000.

The previous prime is 20200122012071. The next prime is 20200122012173. The reversal of 20200122012100 is 121022100202.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4259065 + ... + 7651135.

It is an arithmetic number, because the mean of its divisors is an integer number (335652308544).

Almost surely, 220200122012100 is an apocalyptic number.

20200122012100 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 20200122012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24166966215168).

20200122012100 is an abundant number, since it is smaller than the sum of its proper divisors (28133810418236).

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

20200122012100 is a wasteful number, since it uses less digits than its factorization.

20200122012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392246 (or 3392239 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20200122012100 its reverse (121022100202), we get a palindrome (20321144112302).

The spelling of 20200122012100 in words is "twenty trillion, two hundred billion, one hundred twenty-two million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 31 34 50 62 68 85 100 113 124 155 170 226 310 340 425 452 527 565 620 775 850 1054 1130 1550 1700 1921 2108 2260 2635 2825 3100 3503 3842 5270 5650 7006 7684 9605 10540 11300 13175 14012 17515 19210 26350 35030 38420 48025 52700 59551 70060 87575 96050 119102 175150 192100 238204 297755 350300 595510 1191020 1488775 2977550 3392071 5955100 6784142 13568284 16960355 33920710 57665207 67841420 84801775 105154201 115330414 169603550 210308402 230660828 288326035 339207100 383304023 420616804 525771005 576652070 766608046 1051542010 1153304140 1441630175 1533216092 1787621417 1916520115 2103084020 2628855025 2883260350 3575242834 3833040230 5257710050 5766520700 6516168391 7150485668 7666080460 8938107085 9582600575 10515420100 11882424713 13032336782 17876214170 19165201150 23764849426 26064673564 32580841955 35752428340 38330402300 44690535425 47529698852 59412123565 65161683910 89381070850 118824247130 130323367820 162904209775 178762141700 202001220121 237648494260 297060617825 325808419550 404002440242 594121235650 651616839100 808004880484 1010006100605 1188242471300 2020012201210 4040024402420 5050030503025 10100061006050 20200122012100