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130100000 = 25551301
BaseRepresentation
bin1111100000100…
…10101100100000
3100001210202122112
413300102230200
5231301200000
620524254452
73136555202
oct760225440
9301722575
10130100000
1167490068
12376a1428
1320c52164
14133c8772
15b64d235
hex7c12b20

130100000 has 72 divisors (see below), whose sum is σ = 320393556. Its totient is φ = 52000000.

The previous prime is 130099999. The next prime is 130100017. The reversal of 130100000 is 1031.

130100000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 57577744 + 72522256 = 7588^2 + 8516^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99350 + ... + 100650.

Almost surely, 2130100000 is an apocalyptic number.

130100000 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 130100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160196778).

130100000 is an abundant number, since it is smaller than the sum of its proper divisors (190293556).

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

130100000 is an frugal number, since it uses more digits than its factorization.

130100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 130100000 is about 11406.1386980871. The cubic root of 130100000 is about 506.7095608499.

Adding to 130100000 its reverse (1031), we get a palindrome (130101031).

The spelling of 130100000 in words is "one hundred thirty million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 1301 2000 2500 2602 3125 4000 5000 5204 6250 6505 10000 10408 12500 13010 20000 20816 25000 26020 32525 41632 50000 52040 65050 100000 104080 130100 162625 208160 260200 325250 520400 650500 813125 1040800 1301000 1626250 2602000 3252500 4065625 5204000 6505000 8131250 13010000 16262500 26020000 32525000 65050000 130100000