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20212123041300 = 22352532333544879
BaseRepresentation
bin1001001100010000000000…
…11010011111111000010100
32122120021000121101111102210
410212020000122133320110
510122123411444310200
6110553153211033420
74154164152101421
oct446100032377024
978507017344383
1020212123041300
116492a05589633
1223252b313b870
13b37cc20b7a18
144dc3b4428d48
15250b6c782650
hex12620069fe14

20212123041300 has 144 divisors (see below), whose sum is σ = 59609462250240. Its totient is φ = 5285926863360.

The previous prime is 20212123041293. The next prime is 20212123041301. The reversal of 20212123041300 is 314032121202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20212123041301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36822261 + ... + 37367139.

It is an arithmetic number, because the mean of its divisors is an integer number (413954598960).

Almost surely, 220212123041300 is an apocalyptic number.

20212123041300 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 20212123041300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29804731125120).

20212123041300 is an abundant number, since it is smaller than the sum of its proper divisors (39397339208940).

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

20212123041300 is a wasteful number, since it uses less digits than its factorization.

20212123041300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547282 (or 547275 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 20212123041300 its reverse (314032121202), we get a palindrome (20526155162502).

The spelling of 20212123041300 in words is "twenty trillion, two hundred twelve billion, one hundred twenty-three million, forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 795 1060 1325 1590 2333 2650 3180 3975 4666 5300 6999 7950 9332 11665 13998 15900 23330 27996 34995 46660 58325 69990 116650 123649 139980 174975 233300 247298 349950 370947 494596 544879 618245 699900 741894 1089758 1236490 1483788 1634637 1854735 2179516 2472980 2724395 3091225 3269274 3709470 5448790 6182450 6538548 7418940 8173185 9273675 10897580 12364900 13621975 16346370 18547350 27243950 28878587 32692740 37094700 40865925 54487900 57757174 81731850 86635761 115514348 144392935 163463700 173271522 288785870 346543044 433178805 577571740 721964675 866357610 1271202707 1443929350 1732715220 2165894025 2542405414 2887858700 3813608121 4331788050 5084810828 6356013535 7627216242 8663576100 12712027070 15254432484 19068040605 25424054140 31780067675 38136081210 63560135350 67373743471 76272162420 95340203025 127120270700 134747486942 190680406050 202121230413 269494973884 336868717355 381360812100 404242460826 673737434710 808484921652 1010606152065 1347474869420 1684343586775 2021212304130 3368687173550 4042424608260 5053030760325 6737374347100 10106061520650 20212123041300