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13011132211 = 7111631036661
BaseRepresentation
bin11000001111000011…
…00001111100110011
31020120202201222222121
430013201201330303
5203121322212321
65551025415111
7640266541030
oct140741417463
936522658877
1013011132211
115577499230
12263149a497
1312c479b9cc
148b6026387
15512400441
hex307861f33

13011132211 has 16 divisors (see below), whose sum is σ = 16321206528. Its totient is φ = 10076335200.

The previous prime is 13011132209. The next prime is 13011132221. The reversal of 13011132211 is 11223111031.

It is a happy number.

13011132211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13011132211 - 21 = 13011132209 is a prime.

It is a super-2 number, since 2×130111322112 (a number of 21 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (13011132221) 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, 505780 + ... + 530881.

It is an arithmetic number, because the mean of its divisors is an integer number (1020075408).

Almost surely, 213011132211 is an apocalyptic number.

13011132211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13011132211 is a deficient number, since it is larger than the sum of its proper divisors (3310074317).

13011132211 is a wasteful number, since it uses less digits than its factorization.

13011132211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036842.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 13011132211 its reverse (11223111031), we get a palindrome (24234243242).

The spelling of 13011132211 in words is "thirteen billion, eleven million, one hundred thirty-two thousand, two hundred eleven".

Divisors: 1 7 11 77 163 1141 1793 12551 1036661 7256627 11403271 79822897 168975743 1182830201 1858733173 13011132211