Search a number
-
+
131310431334 = 23218793882397
BaseRepresentation
bin111101001001010110…
…1100010110001100110
3110112221020202001110200
41322102231202301212
54122410432300314
6140153450131330
712325665151605
oct1722255426146
9415836661420
10131310431334
1150763351635
1221547720b46
13c4c85227a4
1464d9543a3c
153637e14709
hex1e92b62c66

131310431334 has 24 divisors (see below), whose sum is σ = 284657421360. Its totient is φ = 43746838128.

The previous prime is 131310431333. The next prime is 131310431341. The reversal of 131310431334 is 433134013131.

131310431334 is a `hidden beast` number, since 1 + 3 + 1 + 310 + 4 + 313 + 34 = 666.

It is a super-2 number, since 2×1313104313342 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131310431298 and 131310431307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131310431333) 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 11 ways as a sum of consecutive naturals, for example, 1907377 + ... + 1975020.

It is an arithmetic number, because the mean of its divisors is an integer number (11860725890).

Almost surely, 2131310431334 is an apocalyptic number.

131310431334 is an abundant number, since it is smaller than the sum of its proper divisors (153346990026).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131310431334 is a wasteful number, since it uses less digits than its factorization.

131310431334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884284 (or 3884281 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 131310431334 its reverse (433134013131), we get a palindrome (564444444465).

The spelling of 131310431334 in words is "one hundred thirty-one billion, three hundred ten million, four hundred thirty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 1879 3758 5637 11274 16911 33822 3882397 7764794 11647191 23294382 34941573 69883146 7295023963 14590047926 21885071889 43770143778 65655215667 131310431334