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131031030 = 235131917683
BaseRepresentation
bin1111100111101…
…01111111110110
3100010120001210010
413303311333312
5232020443110
621000241050
73150513444
oct763657766
9303501703
10131031030
1167a66609
1237a70186
13211b9b70
141358bb94
15b784020
hex7cf5ff6

131031030 has 64 divisors (see below), whose sum is σ = 356509440. Its totient is φ = 30554496.

The previous prime is 131031013. The next prime is 131031031. The reversal of 131031030 is 30130131.

It is a junction number, because it is equal to n+sod(n) for n = 131030997 and 131031015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131031031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1432 + ... + 16251.

It is an arithmetic number, because the mean of its divisors is an integer number (5570460).

Almost surely, 2131031030 is an apocalyptic number.

131031030 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 131031030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178254720).

131031030 is an abundant number, since it is smaller than the sum of its proper divisors (225478410).

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

131031030 is a wasteful number, since it uses less digits than its factorization.

131031030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17725.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 131031030 is about 11446.8786138405. The cubic root of 131031030 is about 507.9154048277.

Adding to 131031030 its reverse (30130131), we get a palindrome (161161161).

The spelling of 131031030 in words is "one hundred thirty-one million, thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 494 570 741 1235 1482 2470 3705 7410 17683 35366 53049 88415 106098 176830 229879 265245 335977 459758 530490 671954 689637 1007931 1149395 1379274 1679885 2015862 2298790 3359770 3448185 4367701 5039655 6896370 8735402 10079310 13103103 21838505 26206206 43677010 65515515 131031030