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130322000 = 2453173833
BaseRepresentation
bin1111100010010…
…00111001010000
3100002020001011202
413301020321100
5231330301000
620533130332
73141501344
oct761107120
9302201152
10130322000
1167621936
12377899a8
1320ccc213
1413445624
15b693dd5
hex7c48e50

130322000 has 80 divisors (see below), whose sum is σ = 333742032. Its totient is φ = 49049600.

The previous prime is 130321993. The next prime is 130322021. The reversal of 130322000 is 223031.

It can be written as a sum of positive squares in 8 ways, for example, as 42562576 + 87759424 = 6524^2 + 9368^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32084 + ... + 35916.

Almost surely, 2130322000 is an apocalyptic number.

130322000 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 130322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166871016).

130322000 is an abundant number, since it is smaller than the sum of its proper divisors (203420032).

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

130322000 is a wasteful number, since it uses less digits than its factorization.

130322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3873 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 130322000 is about 11415.8661519834. The cubic root of 130322000 is about 506.9976100423.

Adding to 130322000 its reverse (223031), we get a palindrome (130545031).

The spelling of 130322000 in words is "one hundred thirty million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 3833 4250 6800 7666 8500 15332 17000 19165 30664 34000 38330 61328 65161 76660 95825 130322 153320 191650 260644 306640 325805 383300 479125 521288 651610 766600 958250 1042576 1303220 1533200 1629025 1916500 2606440 3258050 3833000 5212880 6516100 7666000 8145125 13032200 16290250 26064400 32580500 65161000 130322000