Search a number
-
+
131349062641 = 598326822353
BaseRepresentation
bin111101001010100000…
…0111010001111110001
3110120000221102201122211
41322111000322033301
54123000330001031
6140201350132121
712326644416406
oct1722500721761
9416027381584
10131349062641
1150783137935
1221558651041
13c50352a354
14650071c2ad
15363b4e5bb1
hex1e9503a3f1

131349062641 has 8 divisors (see below), whose sum is σ = 135184664160. Its totient is φ = 127567106112.

The previous prime is 131349062627. The next prime is 131349062651. The reversal of 131349062641 is 146260943131.

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 131349062641 - 213 = 131349054449 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131349062594 and 131349062603.

It is not an unprimeable number, because it can be changed into a prime (131349062651) 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, 13406280 + ... + 13416073.

It is an arithmetic number, because the mean of its divisors is an integer number (16898083020).

Almost surely, 2131349062641 is an apocalyptic number.

It is an amenable number.

131349062641 is a deficient number, since it is larger than the sum of its proper divisors (3835601519).

131349062641 is an equidigital number, since it uses as much as digits as its factorization.

131349062641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26822495.

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 131349062641 in words is "one hundred thirty-one billion, three hundred forty-nine million, sixty-two thousand, six hundred forty-one".

Divisors: 1 59 83 4897 26822353 1582518827 2226255299 131349062641