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10000211221220 = 225111917313828873
BaseRepresentation
bin1001000110000101101100…
…0010011001101011100100
31022102000021220200101212112
42101201123002121223210
52302320413033034340
633134011132140152
72051330361605513
oct221413302315344
938360256611775
1010000211221220
11320607a590710
121156136607658
13577028b411ac
142680271d267a
151251dd767065
hex9185b099ae4

10000211221220 has 96 divisors (see below), whose sum is σ = 24254738686080. Its totient is φ = 3425135016960.

The previous prime is 10000211221211. The next prime is 10000211221243. The reversal of 10000211221220 is 2212211200001.

It is a junction number, because it is equal to n+sod(n) for n = 10000211221195 and 10000211221204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6191297 + ... + 7637576.

It is an arithmetic number, because the mean of its divisors is an integer number (252653527980).

Almost surely, 210000211221220 is an apocalyptic number.

10000211221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000211221220 is an abundant number, since it is smaller than the sum of its proper divisors (14254527464860).

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

10000211221220 is a wasteful number, since it uses less digits than its factorization.

10000211221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13829085 (or 13829083 counting only the distinct ones).

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

Adding to 10000211221220 its reverse (2212211200001), we get a palindrome (12212422421221).

The spelling of 10000211221220 in words is "ten trillion, two hundred eleven million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 173 190 209 220 346 380 418 692 836 865 1045 1730 1903 2090 3287 3460 3806 4180 6574 7612 9515 13148 16435 19030 32870 36157 38060 65740 72314 144628 180785 361570 723140 13828873 27657746 55315492 69144365 138288730 152117603 262748587 276577460 304235206 525497174 608470412 760588015 1050994348 1313742935 1521176030 2392395029 2627485870 2890234457 3042352060 4784790058 5254971740 5780468914 9569580116 11560937828 11961975145 14451172285 23923950290 26316345319 28902344570 45455505551 47847900580 52632690638 57804689140 90911011102 105265381276 131581726595 181822022204 227277527755 263163453190 454555055510 500010561061 526326906380 909110111020 1000021122122 2000042244244 2500052805305 5000105610610 10000211221220