Search a number
-
+
130102320 = 2435542093
BaseRepresentation
bin1111100000100…
…11010000110000
3100001210212211110
413300103100300
5231301233240
620524313320
73136565025
oct760232060
9301725743
10130102320
1167491887
12376a2840
1320c5322a
14133c954c
15b64dc80
hex7c13430

130102320 has 40 divisors (see below), whose sum is σ = 403317936. Its totient is φ = 34693888.

The previous prime is 130102277. The next prime is 130102321. The reversal of 130102320 is 23201031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1301023202 = 33853227338764800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 130102296 and 130102305.

It is not an unprimeable number, because it can be changed into a prime (130102321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 270807 + ... + 271286.

Almost surely, 2130102320 is an apocalyptic number.

130102320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130102320 is an abundant number, since it is smaller than the sum of its proper divisors (273215616).

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

130102320 is a wasteful number, since it uses less digits than its factorization.

130102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542109 (or 542103 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 130102320 is about 11406.2403972562. The cubic root of 130102320 is about 506.7125727873.

Adding to 130102320 its reverse (23201031), we get a palindrome (153303351).

The spelling of 130102320 in words is "one hundred thirty million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 542093 1084186 1626279 2168372 2710465 3252558 4336744 5420930 6505116 8131395 8673488 10841860 13010232 16262790 21683720 26020464 32525580 43367440 65051160 130102320