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10101211210220 = 22513359599180667
BaseRepresentation
bin1001001011111101111100…
…0110110010000111101100
31022202122222202222110010212
42102333133012302013230
52310444240032211340
633252233220321552
72061534300421034
oct222773706620754
938678882873125
1010101211210220
1132449994322a9
1211718232432b8
13583703885ab0
1426cc88d9a8c4
15127b5067ea65
hex92fdf1b21ec

10101211210220 has 96 divisors (see below), whose sum is σ = 22946281344000. Its totient is φ = 3713059194624.

The previous prime is 10101211210213. The next prime is 10101211210243. The reversal of 10101211210220 is 2201211210101.

It is a super-3 number, since 3×101012112102203 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10101211210195 and 10101211210204.

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, 55820327 + ... + 56000993.

It is an arithmetic number, because the mean of its divisors is an integer number (239023764000).

Almost surely, 210101211210220 is an apocalyptic number.

10101211210220 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 10101211210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11473140672000).

10101211210220 is an abundant number, since it is smaller than the sum of its proper divisors (12845070133780).

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

10101211210220 is a wasteful number, since it uses less digits than its factorization.

10101211210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181647 (or 181645 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10101211210220 its reverse (2201211210101), we get a palindrome (12302422420321).

The spelling of 10101211210220 in words is "ten trillion, one hundred one billion, two hundred eleven million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 359 599 718 1198 1436 1795 2396 2995 3590 4667 5990 7180 7787 9334 11980 15574 18668 23335 31148 38935 46670 77870 93340 155740 180667 215041 361334 430082 722668 860164 903335 1075205 1806670 2150410 2348671 2795533 3613340 4300820 4697342 5591066 9394684 11182132 11743355 13977665 23486710 27955330 46973420 55910660 64859453 108219533 129718906 216439066 259437812 324297265 432878132 541097665 648594530 843172889 1082195330 1297189060 1406853929 1686345778 2164390660 2813707858 3372691556 4215864445 5627415716 7034269645 8431728890 14068539290 16863457780 28137078580 38850812347 77701624694 155403249388 194254061735 388508123470 505060560511 777016246940 1010121121022 2020242242044 2525302802555 5050605605110 10101211210220