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30000120120 = 23335181153469
BaseRepresentation
bin11011111100001001…
…011000000100111000
32212102202112000011000
4123330021120010320
5442420012320440
621440514405000
72111300546025
oct337411300470
985382460130
1030000120120
11117a5316303
125992b90760
132aa1407989
14164847a54c
15ba8b4e730
hex6fc258138

30000120120 has 128 divisors (see below), whose sum is σ = 100553544000. Its totient is φ = 7955781120.

The previous prime is 30000120097. The next prime is 30000120229. The reversal of 30000120120 is 2102100003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

30000120120 is a modest number, since divided by 120120 gives 30000 as remainder.

It is a congruent number.

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, 118746 + ... + 272214.

Almost surely, 230000120120 is an apocalyptic number.

30000120120 is a gapful number since it is divisible by the number (30) 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 30000120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50276772000).

30000120120 is an abundant number, since it is smaller than the sum of its proper divisors (70553423880).

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

30000120120 is a wasteful number, since it uses less digits than its factorization.

30000120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153670 (or 153660 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 30000120120 its reverse (2102100003), we get a palindrome (32102220123).

The spelling of 30000120120 in words is "thirty billion, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 181 216 270 360 362 540 543 724 905 1080 1086 1448 1629 1810 2172 2715 3258 3620 4344 4887 5430 6516 7240 8145 9774 10860 13032 16290 19548 21720 24435 32580 39096 48870 65160 97740 153469 195480 306938 460407 613876 767345 920814 1227752 1381221 1534690 1841628 2302035 2762442 3069380 3683256 4143663 4604070 5524884 6138760 6906105 8287326 9208140 11049768 13812210 16574652 18416280 20718315 27624420 27777889 33149304 41436630 55248840 55555778 82873260 83333667 111111556 138889445 165746520 166667334 222223112 250001001 277778890 333334668 416668335 500002002 555557780 666669336 750003003 833336670 1000004004 1111115560 1250005005 1500006006 1666673340 2000008008 2500010010 3000012012 3333346680 3750015015 5000020020 6000024024 7500030030 10000040040 15000060060 30000120120