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10002212000011 = 7112353118728183
BaseRepresentation
bin1001000110001101001001…
…0010110001000100001011
31022102012110100111111101201
42101203102102301010023
52302334012233000021
633134541443525031
72051431065133030
oct221432222610413
938365410444351
1010002212000011
113206a06a0a400
1211565b4689777
135772874cbb7a
14268176c11387
151252a9230591
hex918d24b110b

10002212000011 has 48 divisors (see below), whose sum is σ = 12611419172352. Its totient is φ = 7765029296640.

The previous prime is 10002211999993. The next prime is 10002212000021. The reversal of 10002212000011 is 11000021220001.

It is not a de Polignac number, because 10002212000011 - 219 = 10002211475723 is a prime.

It is a super-3 number, since 3×100022120000113 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10002212000021) 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 47 ways as a sum of consecutive naturals, for example, 354888226 + ... + 354916408.

It is an arithmetic number, because the mean of its divisors is an integer number (262737899424).

Almost surely, 210002212000011 is an apocalyptic number.

10002212000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10002212000011 is a deficient number, since it is larger than the sum of its proper divisors (2609207172341).

10002212000011 is a wasteful number, since it uses less digits than its factorization.

10002212000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29752 (or 29741 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10002212000011 its reverse (11000021220001), we get a palindrome (21002233220012).

The spelling of 10002212000011 in words is "ten trillion, two billion, two hundred twelve million, eleven", and thus it is an aban number.

Divisors: 1 7 11 77 121 353 847 1187 2471 3883 8309 13057 27181 28183 42713 91399 143627 197281 298991 310013 419011 1005389 2170091 2933077 3410143 4609121 9948599 23871001 32263847 33453221 50700331 69640193 109434589 234172547 354902317 367985431 766042123 1203780479 2575898017 4047839741 8426463353 11808987013 28334878187 82662909091 129898857143 909292000001 1428887428573 10002212000011