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13101111023 = 7111324572203
BaseRepresentation
bin11000011001110001…
…10001011011101111
31020211001001101201012
430030320301123233
5203312341023043
610004002135435
7642441414650
oct141470613357
936731041635
1013101111023
115613265690
12265765157b
13130a314100
148c3d69527
1551a275a18
hex30ce316ef

13101111023 has 48 divisors (see below), whose sum is σ = 17733701376. Its totient is φ = 9398488320.

The previous prime is 13101111017. The next prime is 13101111041. The reversal of 13101111023 is 32011110131.

It is a happy number.

It is not a de Polignac number, because 13101111023 - 210 = 13101109999 is a prime.

It is a super-2 number, since 2×131011110232 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13101110989 and 13101111007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101111073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5945840 + ... + 5948042.

It is an arithmetic number, because the mean of its divisors is an integer number (369452112).

Almost surely, 213101111023 is an apocalyptic number.

13101111023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13101111023 is a deficient number, since it is larger than the sum of its proper divisors (4632590353).

13101111023 is a wasteful number, since it uses less digits than its factorization.

13101111023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 13101111023 its reverse (32011110131), we get a palindrome (45112221154).

The spelling of 13101111023 in words is "thirteen billion, one hundred one million, one hundred eleven thousand, twenty-three".

Divisors: 1 7 11 13 77 91 143 169 457 1001 1183 1859 2203 3199 5027 5941 13013 15421 24233 28639 35189 41587 65351 77233 169631 200473 315029 372307 457457 540631 849563 1006771 2205203 2606149 4095377 5946941 7047397 11074481 13088023 28667639 77521367 91616161 143968253 170144299 1007777771 1191010093 1871587289 13101111023