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10210441443020 = 22572132300334841
BaseRepresentation
bin1001010010010100110110…
…1111000011011011001100
31100011002221012221012102122
42110211031233003123030
52314241441002134040
633414340111312112
72102452154163200
oct224451557033314
940132835835378
1010210441443020
113287251010975
12118aa2821b638
13590ac0756a40
1427428bc44b00
1512a8e4dc31b5
hex9494dbc36cc

10210441443020 has 144 divisors (see below), whose sum is σ = 26863253913888. Its totient is φ = 3231203189760.

The previous prime is 10210441442951. The next prime is 10210441443023. The reversal of 10210441443020 is 2034414401201.

10210441443020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102104414430202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (10210441443023) 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, 293040800 + ... + 293075640.

It is an arithmetic number, because the mean of its divisors is an integer number (186550374402).

Almost surely, 210210441443020 is an apocalyptic number.

10210441443020 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 10210441443020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13431626956944).

10210441443020 is an abundant number, since it is smaller than the sum of its proper divisors (16652812470868).

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

10210441443020 is a wasteful number, since it uses less digits than its factorization.

10210441443020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57880 (or 57871 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 10210441443020 its reverse (2034414401201), we get a palindrome (12244855844221).

The spelling of 10210441443020 in words is "ten trillion, two hundred ten billion, four hundred forty-one million, four hundred forty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 6370 12740 23003 34841 46006 69682 92012 115015 139364 161021 174205 230030 243887 299039 322042 348410 452933 460060 487774 598078 644084 696820 805105 905866 975548 1127147 1196156 1219435 1495195 1610210 1707209 1811732 2093273 2254294 2264665 2438870 2990390 3170531 3220420 3414418 4186546 4508588 4529330 4877740 5635735 5980780 6341062 6828836 8373092 8536045 9058660 10466365 11271470 12682124 14652911 15852655 17072090 20932730 22193717 22542940 29305822 31705310 34144180 41865460 44387434 58611644 63410620 73264555 88774868 110968585 146529110 221937170 293058220 443874340 801447523 1602895046 3205790092 4007237615 5610132661 8014475230 10418817799 11220265322 16028950460 20837635598 22440530644 28050663305 39270928627 41675271196 52094088995 56101326610 72931724593 78541857254 104188177990 112202653220 145863449186 157083714508 196354643135 208376355980 291726898372 364658622965 392709286270 510522072151 729317245930 785418572540 1021044144302 1458634491860 2042088288604 2552610360755 5105220721510 10210441443020