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130330000000 = 275713033
BaseRepresentation
bin111100101100001000…
…1011111101010000000
3110110101220212222112001
41321120101133222000
54113403440000000
6135512304113344
712262461502324
oct1713021375200
9413356788461
10130330000000
11502aa984002
1221313305854
13c3a03775c5
14644524b984
1535cbceb46a
hex1e5845fa80

130330000000 has 128 divisors (see below), whose sum is σ = 324576317520. Its totient is φ = 52128000000.

The previous prime is 130329999983. The next prime is 130330000007. The reversal of 130330000000 is 33031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 114888458304 + 15441541696 = 338952^2 + 124264^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (130330000007) 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 15 ways as a sum of consecutive naturals, for example, 9993484 + ... + 10006516.

Almost surely, 2130330000000 is an apocalyptic number.

130330000000 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 130330000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162288158760).

130330000000 is an abundant number, since it is smaller than the sum of its proper divisors (194246317520).

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

130330000000 is an frugal number, since it uses more digits than its factorization.

130330000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13082 (or 13040 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 10.

Adding to 130330000000 its reverse (33031), we get a palindrome (130330033031).

The spelling of 130330000000 in words is "one hundred thirty billion, three hundred thirty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 13033 15625 16000 20000 25000 26066 31250 40000 50000 52132 62500 65165 78125 80000 100000 104264 125000 130330 156250 200000 208528 250000 260660 312500 325825 400000 417056 500000 521320 625000 651650 834112 1000000 1042640 1250000 1303300 1629125 1668224 2000000 2085280 2500000 2606600 3258250 4170560 5000000 5213200 6516500 8145625 8341120 10000000 10426400 13033000 16291250 20852800 26066000 32582500 40728125 41705600 52132000 65165000 81456250 104264000 130330000 162912500 203640625 208528000 260660000 325825000 407281250 521320000 651650000 814562500 1018203125 1042640000 1303300000 1629125000 2036406250 2606600000 3258250000 4072812500 5213200000 6516500000 8145625000 13033000000 16291250000 26066000000 32582500000 65165000000 130330000000