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131304140 = 225114114557
BaseRepresentation
bin1111101001110…
…00101011001100
3100011001221102022
413310320223030
5232103213030
621010145312
73153031622
oct764705314
9304057368
10131304140
1168132820
1237b82238
1321284276
141361d512
15b7d9de5
hex7d38acc

131304140 has 48 divisors (see below), whose sum is σ = 308163744. Its totient is φ = 46579200.

The previous prime is 131304139. The next prime is 131304143. The reversal of 131304140 is 41403131.

It is a super-2 number, since 2×1313041402 = 34481554362279200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131304143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1742 + ... + 16298.

It is an arithmetic number, because the mean of its divisors is an integer number (6420078).

Almost surely, 2131304140 is an apocalyptic number.

131304140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131304140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154081872).

131304140 is an abundant number, since it is smaller than the sum of its proper divisors (176859604).

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

131304140 is a wasteful number, since it uses less digits than its factorization.

131304140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14618 (or 14616 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 131304140 is about 11458.8018570879. The cubic root of 131304140 is about 508.2680452446.

Adding to 131304140 its reverse (41403131), we get a palindrome (172707271).

The spelling of 131304140 in words is "one hundred thirty-one million, three hundred four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 4510 9020 14557 29114 58228 72785 145570 160127 291140 320254 596837 640508 800635 1193674 1601270 2387348 2984185 3202540 5968370 6565207 11936740 13130414 26260828 32826035 65652070 131304140