Search a number
-
+
13136423201 = 112108565481
BaseRepresentation
bin11000011101111110…
…11110100100100001
31020220111111102220122
430032333132210201
5203400411020301
610011303050025
7643350516626
oct141677364441
936814442818
1013136423201
115631194200
122667440915
131314728ca5
148c891c34d
1551d3ed81b
hex30efde921

13136423201 has 6 divisors (see below), whose sum is σ = 14439209106. Its totient is φ = 11942202800.

The previous prime is 13136423143. The next prime is 13136423207. The reversal of 13136423201 is 10232463131.

It can be written as a sum of positive squares in only one way, i.e., 10883496976 + 2252926225 = 104324^2 + 47465^2 .

It is not a de Polignac number, because 13136423201 - 26 = 13136423137 is a prime.

It is a super-2 number, since 2×131364232012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13136423207) 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 5 ways as a sum of consecutive naturals, for example, 54282620 + ... + 54282861.

It is an arithmetic number, because the mean of its divisors is an integer number (2406534851).

Almost surely, 213136423201 is an apocalyptic number.

13136423201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13136423201 is a deficient number, since it is larger than the sum of its proper divisors (1302785905).

13136423201 is a wasteful number, since it uses less digits than its factorization.

13136423201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108565503 (or 108565492 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 13136423201 its reverse (10232463131), we get a palindrome (23368886332).

The spelling of 13136423201 in words is "thirteen billion, one hundred thirty-six million, four hundred twenty-three thousand, two hundred one".

Divisors: 1 11 121 108565481 1194220291 13136423201