Search a number
-
+
131313344310 = 23255327529003
BaseRepresentation
bin111101001001011100…
…0101001111100110110
3110112221110020001022200
41322102320221330312
54122412204004220
6140154032405330
712326032003341
oct1722270517466
9415843201280
10131313344310
1150764a61155
12215486a6846
13c4c9002645
1464d9aa1458
1536382dc890
hex1e92e29f36

131313344310 has 48 divisors (see below), whose sum is σ = 347856494544. Its totient is φ = 34356194496.

The previous prime is 131313344303. The next prime is 131313344311. The reversal of 131313344310 is 13443313131.

131313344310 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 3 + 344 + 310 = 666.

It is a super-2 number, since 2×1313133443102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131313344311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13759732 + ... + 13769271.

It is an arithmetic number, because the mean of its divisors is an integer number (7247010303).

Almost surely, 2131313344310 is an apocalyptic number.

131313344310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131313344310 is an abundant number, since it is smaller than the sum of its proper divisors (216543150234).

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

131313344310 is a wasteful number, since it uses less digits than its factorization.

131313344310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27529069 (or 27529066 counting only the distinct ones).

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

Adding to 131313344310 its reverse (13443313131), we get a palindrome (144756657441).

The spelling of 131313344310 in words is "one hundred thirty-one billion, three hundred thirteen million, three hundred forty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 4770 27529003 55058006 82587009 137645015 165174018 247761027 275290030 412935045 495522054 825870090 1238805135 1459037159 2477610270 2918074318 4377111477 7295185795 8754222954 13131334431 14590371590 21885557385 26262668862 43771114770 65656672155 131313344310