Search a number
-
+
322313013131 = 3676011461293
BaseRepresentation
bin1001011000010110101…
…10100100011110001011
31010210221112210112111212
410230023112210132023
520240044112410011
6404022450243335
732200134256634
oct4541326443613
91123845715455
10322313013131
1111476832531a
1252571b8654b
1324517786865
14118586c288b
1585b651c08b
hex4b0b5a478b

322313013131 has 8 divisors (see below), whose sum is σ = 323729227584. Its totient is φ = 320899723200.

The previous prime is 322313013109. The next prime is 322313013137. The reversal of 322313013131 is 131310313223.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 322313013131 - 234 = 305133143947 is a prime.

It is a super-2 number, since 2×3223130131312 (a number of 24 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 = 322313013097 and 322313013106.

It is not an unprimeable number, because it can be changed into a prime (322313013137) 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 7 ways as a sum of consecutive naturals, for example, 510080 + ... + 951213.

It is an arithmetic number, because the mean of its divisors is an integer number (40466153448).

Almost surely, 2322313013131 is an apocalyptic number.

322313013131 is a deficient number, since it is larger than the sum of its proper divisors (1416214453).

322313013131 is a wasteful number, since it uses less digits than its factorization.

322313013131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462261.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 322313013131 its reverse (131310313223), we get a palindrome (453623326354).

The spelling of 322313013131 in words is "three hundred twenty-two billion, three hundred thirteen million, thirteen thousand, one hundred thirty-one".

Divisors: 1 367 601 220567 1461293 536294531 878237093 322313013131