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130548561 = 311131132693
BaseRepresentation
bin1111100100000…
…00001101010001
3100002122112221220
413302000031101
5231410023221
620542035253
73143434023
oct762001521
9302575856
10130548561
1167767080
1237878b29
132107b390
14134a4013
15b6db0c6
hex7c80351

130548561 has 32 divisors (see below), whose sum is σ = 206381952. Its totient is φ = 72360960.

The previous prime is 130548541. The next prime is 130548571. The reversal of 130548561 is 165845031.

130548561 is a nontrivial binomial coefficient, being equal to C(16159, 2).

It is not a de Polignac number, because 130548561 - 26 = 130548497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (130548521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47131 + ... + 49823.

It is an arithmetic number, because the mean of its divisors is an integer number (6449436).

Almost surely, 2130548561 is an apocalyptic number.

130548561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130548561 is the 16158-th triangular number.

It is an amenable number.

130548561 is a deficient number, since it is larger than the sum of its proper divisors (75833391).

130548561 is a wasteful number, since it uses less digits than its factorization.

130548561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833.

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 130548561 is about 11425.7849183327. The cubic root of 130548561 is about 507.2912401434.

The spelling of 130548561 in words is "one hundred thirty million, five hundred forty-eight thousand, five hundred sixty-one".

Divisors: 1 3 11 13 33 39 113 143 339 429 1243 1469 2693 3729 4407 8079 16159 29623 35009 48477 88869 105027 304309 385099 912927 1155297 3347399 3956017 10042197 11868051 43516187 130548561