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30120320120 = 23511163461911
BaseRepresentation
bin11100000011010011…
…111001110001111000
32212202010200210112212
4130003103321301320
5443141300220440
621500450554252
72114260332242
oct340323716170
985663623485
1030120320120
1111857154350
125a07298988
132ac02a1937
14165a409092
15bb4494465
hex7034f9c78

30120320120 has 128 divisors (see below), whose sum is σ = 74628449280. Its totient is φ = 10850112000.

The previous prime is 30120320117. The next prime is 30120320143. The reversal of 30120320120 is 2102302103.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 30120320095 and 30120320104.

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, 33062465 + ... + 33063375.

It is an arithmetic number, because the mean of its divisors is an integer number (583034760).

Almost surely, 230120320120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30120320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37314224640).

30120320120 is an abundant number, since it is smaller than the sum of its proper divisors (44508129160).

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

30120320120 is a wasteful number, since it uses less digits than its factorization.

30120320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 30120320120 its reverse (2102302103), we get a palindrome (32222622223).

The spelling of 30120320120 in words is "thirty billion, one hundred twenty million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 163 220 326 440 461 652 815 911 922 1304 1630 1793 1822 1844 2305 3260 3586 3644 3688 4555 4610 5071 6520 7172 7288 8965 9110 9220 10021 10142 14344 17930 18220 18440 20042 20284 25355 35860 36440 40084 40568 50105 50710 71720 75143 80168 100210 101420 148493 150286 200420 202840 296986 300572 375715 400840 419971 593972 601144 742465 751430 826573 839942 1187944 1484930 1502860 1633423 1653146 1679884 2099855 2969860 3005720 3266846 3306292 3359768 4132865 4199710 4619681 5939720 6533692 6612584 8167115 8265730 8399420 9239362 13067384 16334230 16531460 16798840 18478724 23098405 32668460 33062920 36957448 46196810 65336920 68455273 92393620 136910546 184787240 273821092 342276365 547642184 684552730 753008003 1369105460 1506016006 2738210920 3012032012 3765040015 6024064024 7530080030 15060160060 30120320120