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130344121120 = 2555315370769
BaseRepresentation
bin111100101100100011…
…1010111001100100000
3110110102220110102001111
41321121013113030200
54113421043333440
6135513530513104
712263022514633
oct1713107271440
9413386412044
10130344121120
1150307949454
1221317b95794
13c3a327cbb5
146447085c1a
1535cd18a4ea
hex1e591d7320

130344121120 has 48 divisors (see below), whose sum is σ = 313748157240. Its totient is φ = 51153915904.

The previous prime is 130344121099. The next prime is 130344121147. The reversal of 130344121120 is 21121443031.

It can be written as a sum of positive squares in 4 ways, for example, as 79125189264 + 51218931856 = 281292^2 + 226316^2 .

It is a super-3 number, since 3×1303441211203 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130344121091 and 130344121100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7676905 + ... + 7693864.

Almost surely, 2130344121120 is an apocalyptic number.

130344121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130344121120 is an abundant number, since it is smaller than the sum of its proper divisors (183404036120).

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

130344121120 is a wasteful number, since it uses less digits than its factorization.

130344121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15370837 (or 15370829 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 130344121120 its reverse (21121443031), we get a palindrome (151465564151).

The spelling of 130344121120 in words is "one hundred thirty billion, three hundred forty-four million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1696 2120 4240 8480 15370769 30741538 61483076 76853845 122966152 153707690 245932304 307415380 491864608 614830760 814650757 1229661520 1629301514 2459323040 3258603028 4073253785 6517206056 8146507570 13034412112 16293015140 26068824224 32586030280 65172060560 130344121120