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130220000 = 255417383
BaseRepresentation
bin1111100001011…
…11111111100000
3100002000212020222
413300233333200
5231314020000
620531022212
73140565101
oct760577740
9302025228
10130220000
1167562239
123773a968
1320c94971
141341a3a8
15b673a85
hex7c2ffe0

130220000 has 120 divisors (see below), whose sum is σ = 340091136. Its totient is φ = 48896000.

The previous prime is 130219967. The next prime is 130220003. The reversal of 130220000 is 22031.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 130220000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130220003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 339809 + ... + 340191.

Almost surely, 2130220000 is an apocalyptic number.

130220000 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 130220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170045568).

130220000 is an abundant number, since it is smaller than the sum of its proper divisors (209871136).

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

130220000 is an equidigital number, since it uses as much as digits as its factorization.

130220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 130220000 is about 11411.3978109608. The cubic root of 130220000 is about 506.8653037707.

Adding to 130220000 its reverse (22031), we get a palindrome (130242031).

The spelling of 130220000 in words is "one hundred thirty million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 383 400 425 500 544 625 680 766 800 850 1000 1250 1360 1532 1700 1915 2000 2125 2500 2720 3064 3400 3830 4000 4250 5000 6128 6511 6800 7660 8500 9575 10000 10625 12256 13022 13600 15320 17000 19150 20000 21250 26044 30640 32555 34000 38300 42500 47875 52088 61280 65110 68000 76600 85000 95750 104176 130220 153200 162775 170000 191500 208352 239375 260440 306400 325550 340000 383000 478750 520880 651100 766000 813875 957500 1041760 1302200 1532000 1627750 1915000 2604400 3255500 3830000 4069375 5208800 6511000 7660000 8138750 13022000 16277500 26044000 32555000 65110000 130220000