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130135432240 = 24511213443743
BaseRepresentation
bin111100100110010101…
…1010001110000110000
3110102220100202220201201
41321030223101300300
54113004132312430
6135441113540544
712254606631352
oct1711453216060
9412810686651
10130135432240
1150210071400
122127a114754
13c36bc72a58
1464274810d2
1535b9bb68ca
hex1e4cad1c30

130135432240 has 60 divisors (see below), whose sum is σ = 332571339072. Its totient is φ = 47321971840.

The previous prime is 130135432199. The next prime is 130135432241. The reversal of 130135432240 is 42234531031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 130135432199 and 130135432208.

It is not an unprimeable number, because it can be changed into a prime (130135432241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6712192 + ... + 6731551.

Almost surely, 2130135432240 is an apocalyptic number.

130135432240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130135432240 is an abundant number, since it is smaller than the sum of its proper divisors (202435906832).

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

130135432240 is a wasteful number, since it uses less digits than its factorization.

130135432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13443778 (or 13443761 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 130135432240 its reverse (42234531031), we get a palindrome (172369963271).

The spelling of 130135432240 in words is "one hundred thirty billion, one hundred thirty-five million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 9680 13443743 26887486 53774972 67218715 107549944 134437430 147881173 215099888 268874860 295762346 537749720 591524692 739405865 1075499440 1183049384 1478811730 1626692903 2366098768 2957623460 3253385806 5915246920 6506771612 8133464515 11830493840 13013543224 16266929030 26027086448 32533858060 65067716120 130135432240