Search a number
-
+
131012144223430 = 25211398691557377
BaseRepresentation
bin11101110010011110100100…
…010100010101010011000110
3122011212122020120221011221211
4131302132210110111103012
5114133000332410122210
61142350052001202034
736411213031514641
oct3562364424252306
9564778216834854
10131012144223430
1138820a35a30a08
121283b04603031a
135814513841042
14244d043446a58
151022dd706d38a
hex7727a45154c6

131012144223430 has 32 divisors (see below), whose sum is σ = 236945593841760. Its totient is φ = 52155151749120.

The previous prime is 131012144223413. The next prime is 131012144223439. The reversal of 131012144223430 is 34322441210131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131012144223392 and 131012144223401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012144223439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83344902 + ... + 84902278.

It is an arithmetic number, because the mean of its divisors is an integer number (7404549807555).

Almost surely, 2131012144223430 is an apocalyptic number.

131012144223430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131012144223430 is a deficient number, since it is larger than the sum of its proper divisors (105933449618330).

131012144223430 is a wasteful number, since it uses less digits than its factorization.

131012144223430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597464.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 131012144223430 its reverse (34322441210131), we get a palindrome (165334585433561).

The spelling of 131012144223430 in words is "one hundred thirty-one trillion, twelve billion, one hundred forty-four million, two hundred twenty-three thousand, four hundred thirty".

Divisors: 1 2 5 10 211 422 1055 2110 39869 79738 199345 398690 1557377 3114754 7786885 8412359 15573770 16824718 42061795 84123590 328606547 657213094 1643032735 3286065470 62091063613 124182127226 310455318065 620910636130 13101214422343 26202428844686 65506072111715 131012144223430