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10202212110020 = 2257179941432637
BaseRepresentation
bin1001010001110110001100…
…1110101000111011000100
31100010022200200222202210112
42110131203032220323010
52314123112300010040
633410455340212152
72102041220045540
oct224354316507304
940108620882715
1010202212110020
113283808846217
12118931023a058
135900ab859128
14273b0ad20a20
1512a5b26c7365
hex947633a8ec4

10202212110020 has 96 divisors (see below), whose sum is σ = 24648321358080. Its totient is φ = 3474655464960.

The previous prime is 10202212109977. The next prime is 10202212110053. The reversal of 10202212110020 is 2001121220201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10202212109977 and 10202212110004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23365142 + ... + 23797778.

It is an arithmetic number, because the mean of its divisors is an integer number (256753347480).

Almost surely, 210202212110020 is an apocalyptic number.

10202212110020 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 10202212110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12324160679040).

10202212110020 is an abundant number, since it is smaller than the sum of its proper divisors (14446109248060).

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

10202212110020 is a wasteful number, since it uses less digits than its factorization.

10202212110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433773 (or 433771 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10202212110020 its reverse (2001121220201), we get a palindrome (12203333330221).

The spelling of 10202212110020 in words is "ten trillion, two hundred two billion, two hundred twelve million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 179 358 716 895 941 1253 1790 1882 2506 3580 3764 4705 5012 6265 6587 9410 12530 13174 18820 25060 26348 32935 65870 131740 168439 336878 432637 673756 842195 865274 1179073 1684390 1730548 2163185 2358146 3028459 3368780 4326370 4716292 5895365 6056918 8652740 11790730 12113836 15142295 23581460 30284590 60569180 77442023 154884046 309768092 387210115 407111417 542094161 774420230 814222834 1084188322 1548840460 1628445668 2035557085 2168376644 2710470805 2849779919 4071114170 5420941610 5699559838 8142228340 10841883220 11399119676 14248899595 28497799190 56995598380 72872943643 145745887286 291491774572 364364718215 510110605501 728729436430 1020221211002 1457458872860 2040442422004 2550553027505 5101106055010 10202212110020