Search a number
-
+
131044313323 = 71117145368899
BaseRepresentation
bin111101000001011011…
…0011000100011101011
3110112020200222212012001
41322002312120203223
54121334321011243
6140111222231431
712316254166420
oct1720266304353
9415220885161
10131044313323
115063710a1a0
1221492585577
13c485358901
1464b206dd47
15361e899a4d
hex1e82d988eb

131044313323 has 32 divisors (see below), whose sum is σ = 173112076800. Its totient is φ = 96038300160.

The previous prime is 131044313293. The next prime is 131044313327. The reversal of 131044313323 is 323313440131.

It is not a de Polignac number, because 131044313323 - 229 = 130507442411 is a prime.

It is a super-2 number, since 2×1310443133232 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131044313291 and 131044313300.

It is not an unprimeable number, because it can be changed into a prime (131044313327) 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 31 ways as a sum of consecutive naturals, for example, 1867528 + ... + 1936426.

It is an arithmetic number, because the mean of its divisors is an integer number (5409752400).

Almost surely, 2131044313323 is an apocalyptic number.

131044313323 is a deficient number, since it is larger than the sum of its proper divisors (42067763477).

131044313323 is a wasteful number, since it uses less digits than its factorization.

131044313323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70387.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 131044313323 its reverse (323313440131), we get a palindrome (454357753454).

The spelling of 131044313323 in words is "one hundred thirty-one billion, forty-four million, three hundred thirteen thousand, three hundred twenty-three".

Divisors: 1 7 11 17 77 119 187 1309 1453 10171 15983 24701 68899 111881 172907 271711 482293 757889 1171283 1901977 5305223 8198981 12884113 90188791 100110247 700771729 1101212717 1701874199 7708489019 11913119393 18720616189 131044313323