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10001210011 = 135697091907
BaseRepresentation
bin10010101000001111…
…00101101010011011
3221211000001002221121
421110013211222123
5130440302210021
64332224350111
7502560611452
oct112407455233
927730032847
1010001210011
114272471121
121b31475337
13c35022160
146ac399b99
153d804b741
hex2541e5a9b

10001210011 has 16 divisors (see below), whose sum is σ = 10810346400. Its totient is φ = 9197837568.

The previous prime is 10001210003. The next prime is 10001210017. The reversal of 10001210011 is 11001210001.

10001210011 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10001210011 - 23 = 10001210003 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001209976 and 10001210003.

It is not an unprimeable number, because it can be changed into a prime (10001210017) 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 15 ways as a sum of consecutive naturals, for example, 5243520 + ... + 5245426.

It is an arithmetic number, because the mean of its divisors is an integer number (675646650).

Almost surely, 210001210011 is an apocalyptic number.

10001210011 is a deficient number, since it is larger than the sum of its proper divisors (809136389).

10001210011 is a wasteful number, since it uses less digits than its factorization.

10001210011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10001210011 its reverse (11001210001), we get a palindrome (21002420012).

The spelling of 10001210011 in words is "ten billion, one million, two hundred ten thousand, eleven".

Divisors: 1 13 569 709 1907 7397 9217 24791 403421 1085083 1352063 5244473 14106079 17576819 769323847 10001210011