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131352030 = 2345179539
BaseRepresentation
bin1111101010001…
…00010111011110
3100011011101010000
413311010113132
5232111231110
621011155130
73153321345
oct765042736
9304141100
10131352030
11681657a7
1237ba5aa6
132129ccc4
1413632b5c
15b7e91c0
hex7d445de

131352030 has 80 divisors (see below), whose sum is σ = 374006160. Its totient is φ = 32963328.

The previous prime is 131352029. The next prime is 131352061. The reversal of 131352030 is 30253131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131351994 and 131352012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9001 + ... + 18539.

It is an arithmetic number, because the mean of its divisors is an integer number (4675077).

Almost surely, 2131352030 is an apocalyptic number.

131352030 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 131352030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187003080).

131352030 is an abundant number, since it is smaller than the sum of its proper divisors (242654130).

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

131352030 is a wasteful number, since it uses less digits than its factorization.

131352030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9575 (or 9566 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 131352030 is about 11460.8913265941. The cubic root of 131352030 is about 508.3298305471.

The spelling of 131352030 in words is "one hundred thirty-one million, three hundred fifty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1377 1530 2295 2754 4590 6885 9539 13770 19078 28617 47695 57234 85851 95390 143085 162163 171702 257553 286170 324326 429255 486489 515106 772659 810815 858510 972978 1287765 1459467 1545318 1621630 2432445 2575530 2918934 3863295 4378401 4864890 7297335 7726590 8756802 13135203 14594670 21892005 26270406 43784010 65676015 131352030