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130413010 = 25721359347
BaseRepresentation
bin1111100010111…
…11000111010010
3100002101200000111
413301133013102
5231341204020
620535111534
73142330600
oct761370722
9302350014
10130413010
1167684252
12378125aa
1321031780
141346a870
15b6b0d5a
hex7c5f1d2

130413010 has 96 divisors (see below), whose sum is σ = 299920320. Its totient is φ = 40457088.

The previous prime is 130412999. The next prime is 130413011. The reversal of 130413010 is 10314031.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (130413011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375657 + ... + 376003.

It is an arithmetic number, because the mean of its divisors is an integer number (3124170).

Almost surely, 2130413010 is an apocalyptic number.

130413010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130413010 is an abundant number, since it is smaller than the sum of its proper divisors (169507310).

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

130413010 is a wasteful number, since it uses less digits than its factorization.

130413010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 130413010 is about 11419.8515752176. The cubic root of 130413010 is about 507.1156026955.

Adding to 130413010 its reverse (10314031), we get a palindrome (140727041).

The spelling of 130413010 in words is "one hundred thirty million, four hundred thirteen thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 35 49 59 65 70 91 98 118 130 182 245 295 347 413 455 490 590 637 694 767 826 910 1274 1534 1735 2065 2429 2891 3185 3470 3835 4130 4511 4858 5369 5782 6370 7670 9022 10738 12145 14455 17003 20473 22555 24290 26845 28910 31577 34006 37583 40946 45110 53690 63154 75166 85015 102365 143311 157885 170030 187915 204730 221039 266149 286622 315770 375830 442078 532298 716555 1003177 1105195 1330745 1433110 1863043 2006354 2210390 2661490 3726086 5015885 9315215 10031770 13041301 18630430 26082602 65206505 130413010