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130441032020000 = 255413501696277
BaseRepresentation
bin11101101010001010101011…
…011000001011000000100000
3122002212001002210120020120002
4131222022223120023000200
5114044121213144120000
61141231441032435132
736322024242055112
oct3552125330130040
9562761083506502
10130441032020000
1138620804a91559
1212768419848aa8
1357a26c8a144b0
14242d545a133b2
15101310d3828d5
hex76a2ab60b020

130441032020000 has 120 divisors (see below), whose sum is σ = 345589467530076. Its totient is φ = 48162842496000.

The previous prime is 130441032019943. The next prime is 130441032020021. The reversal of 130441032020000 is 20230144031.

It can be written as a sum of positive squares in 10 ways, for example, as 2302344953104 + 128138687066896 = 1517348^2 + 11319836^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 250588139 + ... + 251108138.

Almost surely, 2130441032020000 is an apocalyptic number.

130441032020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130441032020000 is an abundant number, since it is smaller than the sum of its proper divisors (215148435510076).

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

130441032020000 is an equidigital number, since it uses as much as digits as its factorization.

130441032020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501696320 (or 501696297 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 130441032020000 its reverse (20230144031), we get a palindrome (130461262164031).

The spelling of 130441032020000 in words is "one hundred thirty trillion, four hundred forty-one billion, thirty-two million, twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 625 650 800 1000 1040 1250 1300 1625 2000 2080 2500 2600 3250 4000 5000 5200 6500 8125 10000 10400 13000 16250 20000 26000 32500 52000 65000 130000 260000 501696277 1003392554 2006785108 2508481385 4013570216 5016962770 6522051601 8027140432 10033925540 12542406925 13044103202 16054280864 20067851080 25084813850 26088206404 32610258005 40135702160 50169627700 52176412808 62712034625 65220516010 80271404320 100339255400 104352825616 125424069250 130441032020 163051290025 200678510800 208705651232 250848138500 260882064040 313560173125 326102580050 401357021600 501696277000 521764128080 627120346250 652205160100 815256450125 1003392554000 1043528256160 1254240692500 1304410320200 1630512900250 2006785108000 2508481385000 2608820640400 3261025800500 4076282250625 5016962770000 5217641280800 6522051601000 8152564501250 10033925540000 13044103202000 16305129002500 26088206404000 32610258005000 65220516010000 130441032020000