Search a number
-
+
130212420 = 2235131391201
BaseRepresentation
bin1111100001011…
…10001001000100
3100002000110212020
413300232021010
5231313244140
620530523140
73140534022
oct760561104
9302013766
10130212420
1167557578
12377364b0
1320c91390
1413417712
15b6716d0
hex7c2e244

130212420 has 96 divisors (see below), whose sum is σ = 395794560. Its totient is φ = 31795200.

The previous prime is 130212413. The next prime is 130212443. The reversal of 130212420 is 24212031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130212420.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107820 + ... + 109020.

It is an arithmetic number, because the mean of its divisors is an integer number (4122860).

Almost surely, 2130212420 is an apocalyptic number.

130212420 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 130212420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197897280).

130212420 is an abundant number, since it is smaller than the sum of its proper divisors (265582140).

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

130212420 is a wasteful number, since it uses less digits than its factorization.

130212420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 130212420 is about 11411.0656820474. The cubic root of 130212420 is about 506.8554688412.

Adding to 130212420 its reverse (24212031), we get a palindrome (154424451).

The spelling of 130212420 in words is "one hundred thirty million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 139 156 195 260 278 390 417 556 695 780 834 1201 1390 1668 1807 2085 2402 2780 3603 3614 4170 4804 5421 6005 7206 7228 8340 9035 10842 12010 14412 15613 18015 18070 21684 24020 27105 31226 36030 36140 46839 54210 62452 72060 78065 93678 108420 156130 166939 187356 234195 312260 333878 468390 500817 667756 834695 936780 1001634 1669390 2003268 2170207 2504085 3338780 4340414 5008170 6510621 8680828 10016340 10851035 13021242 21702070 26042484 32553105 43404140 65106210 130212420