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130203450 = 23452132473
BaseRepresentation
bin1111100001010…
…11111100111010
3100002000000120000
413300223330322
5231313002300
620530413430
73140465616
oct760537472
9302000500
10130203450
1167550863
1237731276
1320c8a280
1413414346
15b66dc00
hex7c2bf3a

130203450 has 120 divisors (see below), whose sum is σ = 389758908. Its totient is φ = 32037120.

The previous prime is 130203439. The next prime is 130203461. The reversal of 130203450 is 54302031.

130203450 is a `hidden beast` number, since 13 + 0 + 203 + 450 = 666.

It is an interprime number because it is at equal distance from previous prime (130203439) and next prime (130203461).

It can be written as a sum of positive squares in 6 ways, for example, as 38675961 + 91527489 = 6219^2 + 9567^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 51414 + ... + 53886.

Almost surely, 2130203450 is an apocalyptic number.

130203450 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 130203450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194879454).

130203450 is an abundant number, since it is smaller than the sum of its proper divisors (259555458).

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

130203450 is a wasteful number, since it uses less digits than its factorization.

130203450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 130203450 is about 11410.6726357389. The cubic root of 130203450 is about 506.8438299157.

Adding to 130203450 its reverse (54302031), we get a palindrome (184505481).

The spelling of 130203450 in words is "one hundred thirty million, two hundred three thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 81 90 117 130 135 150 162 195 225 234 270 325 351 390 405 450 585 650 675 702 810 975 1053 1170 1350 1755 1950 2025 2106 2473 2925 3510 4050 4946 5265 5850 7419 8775 10530 12365 14838 17550 22257 24730 26325 32149 37095 44514 52650 61825 64298 66771 74190 96447 111285 123650 133542 160745 185475 192894 200313 222570 289341 321490 333855 370950 400626 482235 556425 578682 667710 803725 868023 964470 1001565 1112850 1446705 1607450 1669275 1736046 2003130 2411175 2604069 2893410 3338550 4340115 4822350 5007825 5208138 7233525 8680230 10015650 13020345 14467050 21700575 26040690 43401150 65101725 130203450