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214020421323310 = 25717297384954697
BaseRepresentation
bin110000101010011010000011…
…001100000000101000101110
31001001210011010010212201111201
4300222122003030000220232
5211023002310324321220
62035103342500240114
763036315361244050
oct6052320314005056
91031704103781451
10214020421323310
1162214607377438
12200067120a003a
139256067c86894
143abc9022cd8d0
1519b2267bced0a
hexc2a683300a2e

214020421323310 has 128 divisors (see below), whose sum is σ = 488849721419520. Its totient is φ = 65767168180224.

The previous prime is 214020421323301. The next prime is 214020421323311. The reversal of 214020421323310 is 13323124020412.

It is a super-2 number, since 2×2140204213233102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214020421323311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39958119 + ... + 44996578.

It is an arithmetic number, because the mean of its divisors is an integer number (3819138448590).

Almost surely, 2214020421323310 is an apocalyptic number.

214020421323310 is an abundant number, since it is smaller than the sum of its proper divisors (274829300096210).

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

214020421323310 is a wasteful number, since it uses less digits than its factorization.

214020421323310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84954830.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 214020421323310 its reverse (13323124020412), we get a palindrome (227343545343722).

The spelling of 214020421323310 in words is "two hundred fourteen trillion, twenty billion, four hundred twenty-one million, three hundred twenty-three thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 17 29 34 35 58 70 73 85 119 145 146 170 203 238 290 365 406 493 511 595 730 986 1015 1022 1190 1241 2030 2117 2465 2482 2555 3451 4234 4930 5110 6205 6902 8687 10585 12410 14819 17255 17374 21170 29638 34510 35989 43435 71978 74095 86870 148190 179945 251923 359890 503846 1259615 2519230 84954697 169909394 424773485 594682879 849546970 1189365758 1444229849 2463686213 2888459698 2973414395 4927372426 5946828790 6201692881 7221149245 10109608943 12318431065 12403385762 14442298490 17245803491 20219217886 24636862130 31008464405 34491606982 41882665621 43411850167 50548044715 62016928810 83765331242 86229017455 86823700334 101096089430 105428778977 172458034910 179849093549 209413328105 210857557954 217059250835 293178659347 359698187098 418826656210 434118501670 527143894885 586357318694 738001452839 899245467745 1054287789770 1258943654843 1465893296735 1476002905678 1798490935490 2517887309686 2931786593470 3057434590333 3690007264195 6114869180666 6294718274215 7380014528390 12589436548430 15287172951665 21402042132331 30574345903330 42804084264662 107010210661655 214020421323310