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130217131 = 1153401557
BaseRepresentation
bin1111100001011…
…11010010101011
3100002000201022201
413300233102223
5231313422011
620531001031
73140553532
oct760572253
9302021281
10130217131
1167560070
1237739177
1320c93575
1413419319
15b672cc1
hex7c2f4ab

130217131 has 16 divisors (see below), whose sum is σ = 145356768. Its totient is φ = 115648000.

The previous prime is 130217117. The next prime is 130217147. The reversal of 130217131 is 131712031.

It is a cyclic number.

It is not a de Polignac number, because 130217131 - 211 = 130215083 is a prime.

It is a super-2 number, since 2×1302171312 = 33913002411742322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130217099 and 130217108.

It is not an unprimeable number, because it can be changed into a prime (130217231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233505 + ... + 234061.

It is an arithmetic number, because the mean of its divisors is an integer number (9084798).

Almost surely, 2130217131 is an apocalyptic number.

130217131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130217131 is a deficient number, since it is larger than the sum of its proper divisors (15139637).

130217131 is a wasteful number, since it uses less digits than its factorization.

130217131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 130217131 is about 11411.2721026185. The cubic root of 130217131 is about 506.8615813337.

Adding to 130217131 its reverse (131712031), we get a palindrome (261929162).

The spelling of 130217131 in words is "one hundred thirty million, two hundred seventeen thousand, one hundred thirty-one".

Divisors: 1 11 53 401 557 583 4411 6127 21253 29521 223357 233783 324731 2456927 11837921 130217131