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13011012001 = 13371011072503
BaseRepresentation
bin11000001111000010…
…00100100110100001
31020120202111220002101
430013201010212201
5203121304341001
65551023050401
7640265530411
oct140741044641
936522456071
1013011012001
115577416989
122631440a01
1312c4759090
148b5dd4641
155123c9a01
hex3078449a1

13011012001 has 32 divisors (see below), whose sum is σ = 14674722048. Its totient is φ = 11457158400.

The previous prime is 13011011963. The next prime is 13011012031. The reversal of 13011012001 is 10021011031.

It is a cyclic number.

It is not a de Polignac number, because 13011012001 - 219 = 13010487713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13011012031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5196916 + ... + 5199418.

It is an arithmetic number, because the mean of its divisors is an integer number (458585064).

Almost surely, 213011012001 is an apocalyptic number.

It is an amenable number.

13011012001 is a deficient number, since it is larger than the sum of its proper divisors (1663710047).

13011012001 is a wasteful number, since it uses less digits than its factorization.

13011012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 13011012001 its reverse (10021011031), we get a palindrome (23032023032).

The spelling of 13011012001 in words is "thirteen billion, eleven million, twelve thousand, one".

Divisors: 1 13 37 101 107 481 1313 1391 2503 3737 3959 10807 32539 48581 51467 92611 140491 252803 267821 399859 1203943 3286439 3481673 5198167 9353711 9909377 27049921 121598243 128821901 351648973 1000847077 13011012001