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130341200 = 24521122693
BaseRepresentation
bin1111100010011…
…01100101010000
3100002021000111212
413301031211100
5231331404300
620533355252
73141611333
oct761154520
9302230455
10130341200
1167635300
1237798b28
1321007b92
141344c61a
15b699935
hex7c4d950

130341200 has 90 divisors (see below), whose sum is σ = 344328222. Its totient is φ = 47379200.

The previous prime is 130341191. The next prime is 130341203. The reversal of 130341200 is 2143031.

It can be written as a sum of positive squares in 3 ways, for example, as 5438224 + 124902976 = 2332^2 + 11176^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130341203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47054 + ... + 49746.

Almost surely, 2130341200 is an apocalyptic number.

130341200 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 130341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172164111).

130341200 is an abundant number, since it is smaller than the sum of its proper divisors (213987022).

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

130341200 is a wasteful number, since it uses less digits than its factorization.

130341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 130341200 is about 11416.7070558896. The cubic root of 130341200 is about 507.0225070311.

Adding to 130341200 its reverse (2143031), we get a palindrome (132484231).

The spelling of 130341200 in words is "one hundred thirty million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 176 200 220 242 275 400 440 484 550 605 880 968 1100 1210 1936 2200 2420 2693 3025 4400 4840 5386 6050 9680 10772 12100 13465 21544 24200 26930 29623 43088 48400 53860 59246 67325 107720 118492 134650 148115 215440 236984 269300 296230 325853 473968 538600 592460 651706 740575 1077200 1184920 1303412 1481150 1629265 2369840 2606824 2962300 3258530 5213648 5924600 6517060 8146325 11849200 13034120 16292650 26068240 32585300 65170600 130341200