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130010320000 = 275411147739
BaseRepresentation
bin111100100010100111…
…0000000110010000000
3110102120122100120000001
41321011032000302000
54112230120220000
6135420444205344
712251530325551
oct1710516006200
9412518316001
10130010320000
1150156488760
1221244239854
13c34c078c42
1464149d4328
1535adc0146a
hex1e45380c80

130010320000 has 160 divisors (see below), whose sum is σ = 353077916400. Its totient is φ = 47276160000.

The previous prime is 130010319931. The next prime is 130010320019. The reversal of 130010320000 is 23010031.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 806131 + ... + 953869.

Almost surely, 2130010320000 is an apocalyptic number.

130010320000 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 130010320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176538958200).

130010320000 is an abundant number, since it is smaller than the sum of its proper divisors (223067596400).

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

130010320000 is an equidigital number, since it uses as much as digits as its factorization.

130010320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147784 (or 147757 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 130010320000 its reverse (23010031), we get a palindrome (130033330031).

The spelling of 130010320000 in words is "one hundred thirty billion, ten million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 625 640 704 800 880 1000 1100 1250 1375 1408 1600 1760 2000 2200 2500 2750 3200 3520 4000 4400 5000 5500 6875 7040 8000 8800 10000 11000 13750 16000 17600 20000 22000 27500 35200 40000 44000 55000 80000 88000 110000 147739 176000 220000 295478 440000 590956 738695 880000 1181912 1477390 1625129 2363824 2954780 3250258 3693475 4727648 5909560 6500516 7386950 8125645 9455296 11819120 13001032 14773900 16251290 18467375 18910592 23638240 26002064 29547800 32502580 36934750 40628225 47276480 52004128 59095600 65005160 73869500 81256450 92336875 94552960 104008256 118191200 130010320 147739000 162512900 184673750 203141125 208016512 236382400 260020640 295478000 325025800 369347500 406282250 472764800 520041280 590956000 650051600 738695000 812564500 1015705625 1040082560 1181912000 1300103200 1477390000 1625129000 2031411250 2363824000 2600206400 2954780000 3250258000 4062822500 5200412800 5909560000 6500516000 8125645000 11819120000 13001032000 16251290000 26002064000 32502580000 65005160000 130010320000