Search a number
-
+
1310313020133 = 313371525959509
BaseRepresentation
bin10011000100010100101…
…111011111101011100101
311122021010222010011020210
4103010110233133223211
5132432010113121013
62441541031250033
7163444530621435
oct23042457375345
94567128104223
101310313020133
114657785a3927
12191b45219919
139673c8c0b10
14475c31102c5
152413e514cc3
hex13114bdfae5

1310313020133 has 32 divisors (see below), whose sum is σ = 1932484892800. Its totient is φ = 784488727296.

The previous prime is 1310313020117. The next prime is 1310313020161. The reversal of 1310313020133 is 3310203130131.

It is not a de Polignac number, because 1310313020133 - 24 = 1310313020117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310313040133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21988983 + ... + 22048491.

It is an arithmetic number, because the mean of its divisors is an integer number (60390152900).

Almost surely, 21310313020133 is an apocalyptic number.

1310313020133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1310313020133 is a deficient number, since it is larger than the sum of its proper divisors (622171872667).

1310313020133 is a wasteful number, since it uses less digits than its factorization.

1310313020133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74821.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1310313020133 its reverse (3310203130131), we get a palindrome (4620516150264).

The spelling of 1310313020133 in words is "one trillion, three hundred ten billion, three hundred thirteen million, twenty thousand, one hundred thirty-three".

Divisors: 1 3 13 37 39 111 481 1443 15259 45777 59509 178527 198367 564583 595101 773617 1693749 2201833 2320851 6605499 7339579 22018737 28623829 85871487 908047831 2724143493 11804621803 33597769747 35413865409 100793309241 436771006711 1310313020133