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130431012540 = 223515194115299
BaseRepresentation
bin111100101111001001…
…0110100111010111100
3110110122221221221200020
41321132102310322330
54114110314400130
6135530313132140
712265126212453
oct1713622647274
9413587857606
10130431012540
11503519a7244
12213410ba050
13c3b8283c3a
146454823b9a
1535d5b00e10
hex1e5e4b4ebc

130431012540 has 96 divisors (see below), whose sum is σ = 368040153600. Its totient is φ = 34512288000.

The previous prime is 130431012521. The next prime is 130431012541. The reversal of 130431012540 is 45210134031.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 130431012540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130431012541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8517811 + ... + 8533109.

It is an arithmetic number, because the mean of its divisors is an integer number (3833751600).

Almost surely, 2130431012540 is an apocalyptic number.

130431012540 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 130431012540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184020076800).

130431012540 is an abundant number, since it is smaller than the sum of its proper divisors (237609141060).

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

130431012540 is a wasteful number, since it uses less digits than its factorization.

130431012540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16403 (or 16401 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 130431012540 its reverse (45210134031), we get a palindrome (175641146571).

The spelling of 130431012540 in words is "one hundred thirty billion, four hundred thirty-one million, twelve thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 453 604 755 906 941 1510 1812 1882 2265 2823 3020 3764 4530 4705 5646 9060 9410 11292 14115 15299 18820 28230 30598 45897 56460 61196 76495 91794 142091 152990 183588 229485 284182 305980 426273 458970 568364 710455 852546 917940 1420910 1705092 2131365 2310149 2841820 4262730 4620298 6930447 8525460 9240596 11550745 13860894 14396359 23101490 27721788 28792718 34652235 43189077 46202980 57585436 69304470 71981795 86378154 138608940 143963590 172756308 215945385 287927180 431890770 863781540 2173850209 4347700418 6521550627 8695400836 10869251045 13043101254 21738502090 26086202508 32607753135 43477004180 65215506270 130431012540