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10010001212211 = 3711133790090101
BaseRepresentation
bin1001000110101010001010…
…0100010000001100110011
31022102221120012021110210110
42101222202210100030303
52303000440302242321
633142310413432403
72052125106265350
oct221524244201463
938387505243713
1010010001212211
11320a2437a6860
12115800919b703
13577c2917b680
142686b54c9627
151255b2e90176
hex91aa2910333

10010001212211 has 64 divisors (see below), whose sum is σ = 18404326757376. Its totient is φ = 4670270784000.

The previous prime is 10010001212203. The next prime is 10010001212249. The reversal of 10010001212211 is 11221210001001.

It is not a de Polignac number, because 10010001212211 - 23 = 10010001212203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10010001210211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44933940 + ... + 45156161.

It is an arithmetic number, because the mean of its divisors is an integer number (287567605584).

Almost surely, 210010001212211 is an apocalyptic number.

10010001212211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10010001212211 is a deficient number, since it is larger than the sum of its proper divisors (8394325545165).

10010001212211 is a wasteful number, since it uses less digits than its factorization.

10010001212211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90090172.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10010001212211 its reverse (11221210001001), we get a palindrome (21231211213212).

The spelling of 10010001212211 in words is "ten trillion, ten billion, one million, two hundred twelve thousand, two hundred eleven".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 5291 8547 10101 15873 37037 111111 90090101 270270303 630630707 990991111 1171171313 1891892121 2972973333 3333333737 3513513939 6936937777 8198199191 10000001211 12882884443 20810813331 23333336159 24594597573 36666671107 38648653329 43333338581 70000008477 90180191101 110000013321 130000015743 256666697749 270540573303 303333370067 476666724391 770000093247 910000110201 1430000173173 3336667070737 10010001212211