Search a number
-
+
130205412 = 22326195843
BaseRepresentation
bin1111100001011…
…00011011100100
3100002000010020200
413300230123210
5231313033122
620530430500
73140504421
oct760543344
9302003220
10130205412
1167552287
1237732430
1320c8b12c
1413414d48
15b66e5ac
hex7c2c6e4

130205412 has 36 divisors (see below), whose sum is σ = 329718480. Its totient is φ = 43324272.

The previous prime is 130205407. The next prime is 130205417. The reversal of 130205412 is 214502031.

It is an interprime number because it is at equal distance from previous prime (130205407) and next prime (130205417).

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (130205417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19363 + ... + 25205.

Almost surely, 2130205412 is an apocalyptic number.

130205412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130205412 is an abundant number, since it is smaller than the sum of its proper divisors (199513068).

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

130205412 is a wasteful number, since it uses less digits than its factorization.

130205412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6472 (or 6467 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 130205412 is about 11410.7586075598. The cubic root of 130205412 is about 506.8463757330.

Adding to 130205412 its reverse (214502031), we get a palindrome (344707443).

The spelling of 130205412 in words is "one hundred thirty million, two hundred five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 619 1238 1857 2476 3714 5571 5843 7428 11142 11686 17529 22284 23372 35058 52587 70116 105174 210348 3616817 7233634 10850451 14467268 21700902 32551353 43401804 65102706 130205412