Search a number
-
+
101315121323 = 13173391135193
BaseRepresentation
bin101111001011011011…
…0100001000010101011
3100200111211021102112212
41132112312201002223
53124443132340243
6114313222355335
710214453215313
oct1362666410253
9320454242485
10101315121323
1139a70821229
121777628bb4b
139728110340
144c9199a443
15297e915318
hex1796da10ab

101315121323 has 16 divisors (see below), whose sum is σ = 115561668096. Its totient is φ = 87993768960.

The previous prime is 101315121319. The next prime is 101315121331. The reversal of 101315121323 is 323121513101.

It is a cyclic number.

It is not a de Polignac number, because 101315121323 - 22 = 101315121319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101315121223) 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 15 ways as a sum of consecutive naturals, for example, 681815 + ... + 817007.

It is an arithmetic number, because the mean of its divisors is an integer number (7222604256).

Almost surely, 2101315121323 is an apocalyptic number.

101315121323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101315121323 is a deficient number, since it is larger than the sum of its proper divisors (14246546773).

101315121323 is a wasteful number, since it uses less digits than its factorization.

101315121323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138614.

The product of its (nonzero) digits is 540, while the sum is 23.

Adding to 101315121323 its reverse (323121513101), we get a palindrome (424436634424).

The spelling of 101315121323 in words is "one hundred one billion, three hundred fifteen million, one hundred twenty-one thousand, three hundred twenty-three".

Divisors: 1 13 17 221 3391 44083 57647 135193 749411 1757509 2298281 29877653 458439463 5959713019 7793470871 101315121323