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131130 = 23253147
BaseRepresentation
bin100000000000111010
320122212200
4200000322
513144010
62451030
71054206
oct400072
9218780
10131130
118a57a
1263a76
13478bc
1435b06
1528cc0
hex2003a

131130 has 48 divisors (see below), whose sum is σ = 359424. Its totient is φ = 33120.

The previous prime is 131129. The next prime is 131143. The reversal of 131130 is 31131.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a plaindrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2767 + ... + 2813.

It is an arithmetic number, because the mean of its divisors is an integer number (7488).

2131130 is an apocalyptic number.

131130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179712).

131130 is an abundant number, since it is smaller than the sum of its proper divisors (228294).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131130 is a wasteful number, since it uses less digits than its factorization.

131130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 131130 is about 362.1187650482. The cubic root of 131130 is about 50.8043251737.

Adding to 131130 its reverse (31131), we get a palindrome (162261).

Subtracting from 131130 its reverse (31131), we obtain a palindrome (99999).

The spelling of 131130 in words is "one hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 47 62 90 93 94 141 155 186 235 279 282 310 423 465 470 558 705 846 930 1395 1410 1457 2115 2790 2914 4230 4371 7285 8742 13113 14570 21855 26226 43710 65565 131130