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131253030 = 23256592213
BaseRepresentation
bin1111101001011…
…00001100100110
3100010222100022100
413310230030212
5232100044110
621005112530
73152426616
oct764541446
9303870270
10131253030
11680a8387
1237b58746
1321266c1c
1413608a46
15b7c9bc0
hex7d2c326

131253030 has 48 divisors (see below), whose sum is σ = 341930160. Its totient is φ = 34931904.

The previous prime is 131253011. The next prime is 131253041. The reversal of 131253030 is 30352131.

131253030 is a `hidden beast` number, since 131 + 2 + 530 + 3 + 0 = 666.

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 = 131252994 and 131253012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58204 + ... + 60416.

It is an arithmetic number, because the mean of its divisors is an integer number (7123545).

Almost surely, 2131253030 is an apocalyptic number.

131253030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131253030 is an abundant number, since it is smaller than the sum of its proper divisors (210677130).

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

131253030 is a wasteful number, since it uses less digits than its factorization.

131253030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885 (or 2882 counting only the distinct ones).

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

The square root of 131253030 is about 11456.5714766679. The cubic root of 131253030 is about 508.2020890833.

The spelling of 131253030 in words is "one hundred thirty-one million, two hundred fifty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 659 1318 1977 2213 3295 3954 4426 5931 6590 6639 9885 11065 11862 13278 19770 19917 22130 29655 33195 39834 59310 66390 99585 199170 1458367 2916734 4375101 7291835 8750202 13125303 14583670 21875505 26250606 43751010 65626515 131253030