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131443020 = 22335475179
BaseRepresentation
bin1111101010110…
…10100101001100
3100011022222221000
413311122211030
5232122134040
621013140300
73154150542
oct765324514
9304288830
10131443020
11682180a5
123802a690
1321302547
1413657d92
15b816130
hex7d5a94c

131443020 has 96 divisors (see below), whose sum is σ = 417715200. Its totient is φ = 34299072.

The previous prime is 131443019. The next prime is 131443027. The reversal of 131443020 is 20344131.

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 = 131442984 and 131443002.

It is not an unprimeable number, because it can be changed into a prime (131443027) 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, 22791 + ... + 27969.

It is an arithmetic number, because the mean of its divisors is an integer number (4351200).

Almost surely, 2131443020 is an apocalyptic number.

131443020 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 131443020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208857600).

131443020 is an abundant number, since it is smaller than the sum of its proper divisors (286272180).

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

131443020 is a wasteful number, since it uses less digits than its factorization.

131443020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5244 (or 5236 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 131443020 is about 11464.8602259251. The cubic root of 131443020 is about 508.4471799714.

Adding to 131443020 its reverse (20344131), we get a palindrome (151787151).

The spelling of 131443020 in words is "one hundred thirty-one million, four hundred forty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 108 135 141 180 188 235 270 282 423 470 540 564 705 846 940 1269 1410 1692 2115 2538 2820 4230 5076 5179 6345 8460 10358 12690 15537 20716 25380 25895 31074 46611 51790 62148 77685 93222 103580 139833 155370 186444 233055 243413 279666 310740 466110 486826 559332 699165 730239 932220 973652 1217065 1398330 1460478 2190717 2434130 2796660 2920956 3651195 4381434 4868260 6572151 7302390 8762868 10953585 13144302 14604780 21907170 26288604 32860755 43814340 65721510 131443020