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10011012012001 = 7111310001011001
BaseRepresentation
bin1001000110101101111011…
…0100001001011111100001
31022110001011122021102102201
42101223132310021133201
52303010023033341001
633142555002413201
72052162132036460
oct221533664113741
938401148242381
1010011012012001
11320a712326690
12115824b801201
1357805a6ca460
1426876d8489d7
15125621aa6501
hex91aded097e1

10011012012001 has 16 divisors (see below), whose sum is σ = 13441358786688. Its totient is φ = 7200727920000.

The previous prime is 10011012011971. The next prime is 10011012012019. The reversal of 10011012012001 is 10021021011001.

It is a cyclic number.

It is not a de Polignac number, because 10011012012001 - 27 = 10011012011873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10011012012041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5000504500 + ... + 5000506501.

It is an arithmetic number, because the mean of its divisors is an integer number (840084924168).

Almost surely, 210011012012001 is an apocalyptic number.

10011012012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011012012001 is a deficient number, since it is larger than the sum of its proper divisors (3430346774687).

10011012012001 is a wasteful number, since it uses less digits than its factorization.

10011012012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10001011032.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10011012012001 its reverse (10021021011001), we get a palindrome (20032033023002).

The spelling of 10011012012001 in words is "ten trillion, eleven billion, twelve million, twelve thousand, one".

Divisors: 1 7 11 13 77 91 143 1001 10001011001 70007077007 110011121011 130013143013 770077847077 910092001091 1430144573143 10011012012001