Search a number
-
+
10131010313 = 43617338167
BaseRepresentation
bin10010110111101101…
…01111001100001001
3222011001021122111012
421123312233030021
5131222014312223
64353142413305
7506025111134
oct113366571411
928131248435
1010131010313
114329766aa6
121b68a31235
13c55b9aa78
146c170721b
153e463ac78
hex25bdaf309

10131010313 has 8 divisors (see below), whose sum is σ = 10368566208. Its totient is φ = 9893543184.

The previous prime is 10131010297. The next prime is 10131010319. The reversal of 10131010313 is 31301013101.

It is a happy number.

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 10131010313 - 24 = 10131010297 is a prime.

It is a super-2 number, since 2×101310103132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10131010319) 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, 246356 + ... + 284522.

It is an arithmetic number, because the mean of its divisors is an integer number (1296070776).

Almost surely, 210131010313 is an apocalyptic number.

It is an amenable number.

10131010313 is a deficient number, since it is larger than the sum of its proper divisors (237555895).

10131010313 is an equidigital number, since it uses as much as digits as its factorization.

10131010313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44383.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 10131010313 its reverse (31301013101), we get a palindrome (41432023414).

The spelling of 10131010313 in words is "ten billion, one hundred thirty-one million, ten thousand, three hundred thirteen".

Divisors: 1 43 6173 38167 265439 1641181 235604891 10131010313