Search a number
-
+
210002011210220 = 225414575153108751
BaseRepresentation
bin101111101111111011100111…
…010001111100000111101100
31000112112222220020022101011012
4233233323213101330013230
5210011133104332211340
62022345331521444352
762143100414663555
oct5757734721740754
91015488806271135
10210002011210220
1160a05397650379
121b6779687a06b8
139024148cb8108
1439c0219cc932c
15194297a85b565
hexbefee747c1ec

210002011210220 has 96 divisors (see below), whose sum is σ = 452840984176896. Its totient is φ = 81756057600000.

The previous prime is 210002011210181. The next prime is 210002011210237. The reversal of 210002011210220 is 22012110200012.

It is a junction number, because it is equal to n+sod(n) for n = 210002011210195 and 210002011210204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1930980845 + ... + 1931089595.

It is an arithmetic number, because the mean of its divisors is an integer number (4717093585176).

Almost surely, 2210002011210220 is an apocalyptic number.

210002011210220 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 210002011210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226420492088448).

210002011210220 is an abundant number, since it is smaller than the sum of its proper divisors (242838972966676).

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

210002011210220 is a wasteful number, since it uses less digits than its factorization.

210002011210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114411 (or 114409 counting only the distinct ones).

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

Adding to 210002011210220 its reverse (22012110200012), we get a palindrome (232014121410232).

The spelling of 210002011210220 in words is "two hundred ten trillion, two billion, eleven million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 457 820 914 1828 2285 4570 5153 9140 10306 18737 20612 25765 37474 51530 74948 93685 103060 108751 187370 211273 217502 374740 422546 435004 543755 845092 1056365 1087510 2112730 2175020 2354921 4225460 4458791 4709842 8917582 9419684 11774605 17835164 22293955 23549210 44587910 47098420 49699207 89175820 96551761 99398414 193103522 198796828 248496035 386207044 482758805 496992070 560393903 965517610 993984140 1120787806 1931035220 2037667487 2241575612 2801969515 4075334974 5603939030 8150669948 10188337435 11207878060 20376674870 22976150023 40753349740 45952300046 91904600092 114880750115 229761500230 256100013671 459523000460 512200027342 1024400054684 1280500068355 2561000136710 5122000273420 10500100560511 21000201121022 42000402242044 52500502802555 105001005605110 210002011210220