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130341143031 = 31131127410697
BaseRepresentation
bin111100101100011110…
…0000000000111110111
3110110102200212002212220
41321120330000013313
54113414313034111
6135513343013423
712262655302311
oct1713074000767
9413380762786
10130341143031
11503061a4a20
1221316b9a273
13c3a2779508
14644690c7b1
1535ccc9ce06
hex1e58f001f7

130341143031 has 16 divisors (see below), whose sum is σ = 195702832128. Its totient is φ = 76446417600.

The previous prime is 130341142993. The next prime is 130341143077.

130341143031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 130341143031 - 214 = 130341126647 is a prime.

It is a super-2 number, since 2×1303411430312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130341142992 and 130341143010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130341143081) 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 15 ways as a sum of consecutive naturals, for example, 63704326 + ... + 63706371.

It is an arithmetic number, because the mean of its divisors is an integer number (12231427008).

Almost surely, 2130341143031 is an apocalyptic number.

130341143031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130341143031 is a deficient number, since it is larger than the sum of its proper divisors (65361689097).

130341143031 is a wasteful number, since it uses less digits than its factorization.

130341143031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127410742.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 130341 and 143031, that added together give a palindrome (273372).

The spelling of 130341143031 in words is "one hundred thirty billion, three hundred forty-one million, one hundred forty-three thousand, thirty-one".

Divisors: 1 3 11 31 33 93 341 1023 127410697 382232091 1401517667 3949731607 4204553001 11849194821 43447047677 130341143031