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130020320100 = 223521123581827
BaseRepresentation
bin111100100010111010…
…0001010001101100100
3110102121100011121120010
41321011310022031210
54112240200220400
6135421442410220
712252011325426
oct1710564121544
9412540147503
10130020320100
1150161098a00
1221247660970
13c35116a868
146416078816
1535aea29450
hex1e45d0a364

130020320100 has 108 divisors (see below), whose sum is σ = 413500551632. Its totient is φ = 31520068800.

The previous prime is 130020320051. The next prime is 130020320107. The reversal of 130020320100 is 1023020031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (130020320107) 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 35 ways as a sum of consecutive naturals, for example, 1754614 + ... + 1827213.

Almost surely, 2130020320100 is an apocalyptic number.

130020320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130020320100 is an abundant number, since it is smaller than the sum of its proper divisors (283480231532).

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

130020320100 is a wasteful number, since it uses less digits than its factorization.

130020320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581866 (or 3581848 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 130020320100 its reverse (1023020031), we get a palindrome (131043340131).

The spelling of 130020320100 in words is "one hundred thirty billion, twenty million, three hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 132 150 165 220 242 275 300 330 363 484 550 605 660 726 825 1100 1210 1452 1650 1815 2420 3025 3300 3630 6050 7260 9075 12100 18150 36300 3581827 7163654 10745481 14327308 17909135 21490962 35818270 39400097 42981924 53727405 71636540 78800194 89545675 107454810 118200291 157600388 179091350 197000485 214909620 236400582 268637025 358182700 394000970 433401067 472801164 537274050 591001455 788001940 866802134 985002425 1074548100 1182002910 1300203201 1733604268 1970004850 2167005335 2364005820 2600406402 2955007275 3940009700 4334010670 5200812804 5910014550 6501016005 8668021340 10835026675 11820029100 13002032010 21670053350 26004064020 32505080025 43340106700 65010160050 130020320100