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130330133301000 = 2335380935368019
BaseRepresentation
bin11101101000100011011001…
…010011001000011100001000
3122002110102212002001121111010
4131220203121103020130020
5114040312103111113000
61141104500420203520
736311020125362463
oct3550433123103410
9562412762047433
10130330133301000
1138588776604576
121274aa29b395a0
13579510427bcc9
1424280253282da
1510102bc412d50
hex7688d94c8708

130330133301000 has 128 divisors (see below), whose sum is σ = 406680336316800. Its totient is φ = 34750401324800.

The previous prime is 130330133300959. The next prime is 130330133301029. The reversal of 130330133301000 is 103331033031.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21594991 + ... + 26963009.

It is an arithmetic number, because the mean of its divisors is an integer number (3177190127475).

Almost surely, 2130330133301000 is an apocalyptic number.

130330133301000 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 130330133301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203340168158400).

130330133301000 is an abundant number, since it is smaller than the sum of its proper divisors (276350203015800).

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

130330133301000 is a wasteful number, since it uses less digits than its factorization.

130330133301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5376136 (or 5376122 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 130330133301000 its reverse (103331033031), we get a palindrome (130433464334031).

The spelling of 130330133301000 in words is "one hundred thirty trillion, three hundred thirty billion, one hundred thirty-three million, three hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 8093 16186 24279 32372 40465 48558 64744 80930 97116 121395 161860 194232 202325 242790 323720 404650 485580 606975 809300 971160 1011625 1213950 1618600 2023250 2427900 3034875 4046500 4855800 5368019 6069750 8093000 10736038 12139500 16104057 21472076 24279000 26840095 32208114 42944152 53680190 64416228 80520285 107360380 128832456 134200475 161040570 214720760 268400950 322081140 402601425 536801900 644162280 671002375 805202850 1073603800 1342004750 1610405700 2013007125 2684009500 3220811400 4026014250 5368019000 8052028500 16104057000 43443377767 86886755534 130330133301 173773511068 217216888835 260660266602 347547022136 434433777670 521320533204 651650666505 868867555340 1042641066408 1086084444175 1303301333010 1737735110680 2172168888350 2606602666020 3258253332525 4344337776700 5213205332040 5430422220875 6516506665050 8688675553400 10860844441750 13033013330100 16291266662625 21721688883500 26066026660200 32582533325250 43443377767000 65165066650500 130330133301000