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130313320000 = 26548339251
BaseRepresentation
bin111100101011101000…
…1110111011001000000
3110110100202111112212021
41321113101313121000
54113340202220000
6135510510411224
712262166641513
oct1712721673100
9413322445767
10130313320000
11502a1521086
1221309800b14
13c399a87396
146442d48d7a
1535ca60411a
hex1e57477640

130313320000 has 140 divisors (see below), whose sum is σ = 327036202416. Its totient is φ = 51496000000.

The previous prime is 130313319989. The next prime is 130313320009. The reversal of 130313320000 is 23313031.

It is a super-2 number, since 2×1303133200002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (130313320009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3300375 + ... + 3339625.

Almost surely, 2130313320000 is an apocalyptic number.

130313320000 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 130313320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163518101208).

130313320000 is an abundant number, since it is smaller than the sum of its proper divisors (196722882416).

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

130313320000 is an frugal number, since it uses more digits than its factorization.

130313320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39366 (or 39341 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 130313320000 its reverse (23313031), we get a palindrome (130336633031).

The spelling of 130313320000 in words is "one hundred thirty billion, three hundred thirteen million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 83 100 125 160 166 200 250 320 332 400 415 500 625 664 800 830 1000 1250 1328 1600 1660 2000 2075 2500 2656 3320 4000 4150 5000 5312 6640 8000 8300 10000 10375 13280 16600 20000 20750 26560 33200 39251 40000 41500 51875 66400 78502 83000 103750 132800 157004 166000 196255 207500 314008 332000 392510 415000 628016 664000 785020 830000 981275 1256032 1570040 1660000 1962550 2512064 3140080 3257833 3320000 3925100 4906375 6280160 6515666 7850200 9812750 12560320 13031332 15700400 16289165 19625500 24531875 26062664 31400800 32578330 39251000 49063750 52125328 62801600 65156660 78502000 81445825 98127500 104250656 130313320 157004000 162891650 196255000 208501312 260626640 314008000 325783300 392510000 407229125 521253280 651566600 785020000 814458250 1042506560 1303133200 1570040000 1628916500 2036145625 2606266400 3257833000 4072291250 5212532800 6515666000 8144582500 13031332000 16289165000 26062664000 32578330000 65156660000 130313320000